Use the graph to write an explicit function to represent the data and determine how much money Taryn earned in week 5.

graph with x axis labeled Number of Weeks and ranges from zero to seven, y axis labeled Money Earned, in dollars, and ranges from zero to one hundred eighty with points at one comma four, two comma twelve, three comma thirty six, and four comma one hundred eight

f(n) = (3)n − 1; f(5) = 81
f(n) = 4(3)n + 1; f(5) = 2,916
f(n) = 4(3)n; f(5) = 972
f(n) = 4(3)n − 1; f(5) = 324

Use The Graph To Write An Explicit Function To Represent The Data And Determine How Much Money Taryn

Answers

Answer 1

Answer:

answer is C f(n) = 4(3)n; f(5) = 972

Step-by-step explanation:

i took the test, also

Answer 2

The graph is an illustration of an exponential function

The true statement is (d) [tex]\mathbf{f(n) = 4(3)^{n-1}}[/tex], [tex]\mathbf{f(5) = 324}[/tex]

An exponential function is represented as:

[tex]y = ab^{x-1}[/tex]

From the graph, we have the following points

[tex](x_1,y_1) = (1,4)[/tex]

[tex](x_2,y_2) = (2,12)[/tex]

So, we have:

[tex]y = ab^{x-1}[/tex] --------- [tex](x_1,y_1) = (1,4)[/tex]

[tex]4 = ab^{1-1}[/tex]

[tex]4 =ab^0[/tex]

[tex]4 =a \times 1[/tex]

[tex]4 =a[/tex]

[tex]a = 4[/tex]

[tex]y = ab^{x-1}[/tex] --------- [tex](x_2,y_2) = (2,12)[/tex]

[tex]12 = ab^{2-1[/tex]

[tex]12 = ab[/tex]

Substitute [tex]a = 4[/tex]

[tex]12 = 4b[/tex]

Divide both sides by 4

[tex]3 = b[/tex]

[tex]b =3[/tex]

Recall that:

[tex]y = ab^{x-1}[/tex]

So, we have::

[tex]y = 4(3)^{x-1}[/tex]

Express as a function of n

[tex]\mathbf{f(n) = 4(3)^{n-1}}[/tex]

Substitute 5 for n, to calculate the 5th term

[tex]\mathbf{f(5) = 4(3)^{5-1}}[/tex]

[tex]\mathbf{f(5) = 4(3)^4}[/tex]

[tex]\mathbf{f(5) = 324}[/tex]

Hence, option (d) is correct

Read more about exponential functions as:

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Related Questions

Buthaina bought some books for 6$ each and received a discount of 8$ off of her total purchase. She spent 58$ after the discount. How many books did she buy?

Answers

Answer: Buthaina bought 11 books.

Step-by-step explanation:

First, write your givens.

1 book costs $6.00

A discount of $8.00

Total AFTER discount $58.00

Add the discount to your total= 58.00+8.00=66.00

Take your total BEFORE the discount (66.00) and divide it by 6.

66/6= 11.

She bought 11 books.

Answer:

66 dollars

Step-by-step explanation:

i added 8 dollars to the 58

If you get this one correct I WILL MARK BRAINLEST thanks

Answers

Answer:

111 111 11      1 111 111 1        11 111

Step-by-step explanation:

3  pizzas

is the square root of 42.25​

Answers

Answer: It’s 6.5

Step-by-step explanation: Bruh just look it up on google

On another day, Martin bought 123
5
pounds of grapes for a picnic. His friend bought 3
8
of that amount. Use compatible fractions to estimate how many pounds of grapes Martin’s friend bought.

123
5


3
8


Martin's friend bought about
pounds of grapes.

Answers

123 I think but let me know if it's right

Answer:

1.)✔ 12 1/2

2.) ✔ 1/2

3.) ✔ 6 ¼

 

Step-by-step explanation:

A chemical company makes up batches of copper sulfate solution by adding 250 kg of copper sulfate powder to 1000 liters of water. A laboratory chemist wants to make a solution of identical concentration, but only needs 350 mL (0.35 liters) of solution.

How much copper sulfate powder should the chemist add to the water? Enter your answer in the box below in decimal format.

The mass of copper sulfate that the chemist should add is______
kg.
help me please

Answers

Answer:

0.07 kg

Step-by-step explanation:

Assuming copper sulfate has same density as water

Chemical to water ratio as per given is:

250 kg : 1000 liter = 1 kg : 4 liter

Lab solution is 350 ml

Converting to same ratio as above:

350/(1 + 4) = 70 ml

70 ml : 280 ml = 70 g : 180 ml = 0.07 kg : 180 ml

Answer is 0.07 kg

Help please I’ll give you 25 points

Answers

Answer:

=x3y+8

Step-by-step explanation:

The answer to your question is in the picture ❤️

( 8-5 )²
how to simplify

Answers

It is just going to be 3^2 which is 9

Answer:

9

Step-by-step explanation:

(8-5)^2

3^2

3×3

9

Hope this helps :)

What is 9(x + 8) + x(5+4)

Answers

Answer:

72+ 18x

Step-by-step explanation:

9x+72+5x+4x

72+ 18x

9(x + 8) + x(5 + 4)

9x + 72 + 5x + 4x

18x + 72

(If you have been asked to solve for x then also include the following, if not then only write what is above!)

18x + 72 = 0

18x = -72

x = -4

Write the equation of the line in y = mx + b form.
I need help

Answers

wouldn’t it be y=-4x+1
Answer:  y = -4x+1

========================================================

Explanation:

The two points on this line are (-1,5) and (0,1)

Let's use the slope formula

m = (y2-y1)/(x2-x1)

m = (1-5)/(0-(-1))

m = (1-5)/(0+1)

m = -4/1

m = -4

The slope is m = -4

If we started at (-1,5) and moved down 4 and to the right 1, then we arrive at (0,1). The motion "down 4, right 1" is directly tied to the slope -4 since -4 = -4/1 = rise/run

The y intercept is b = 1 since this is the location where the graph crosses the y axis.

With m = -4 and b = 1, we go from y = mx+b to y = -4x+1

PLEASE HELP ME I ONLY HAVE 10 MINS TO FINISH ALL MY ASSIMENTS, WILL GIVE BRAINLIEST AND 15 POINTS
question:The baseball infield has an area of 90^2 square feet. What is the area of the infield?

Answers

Answer:

8100 square feet

Step-by-step explanation:

#1) Mrs. Ebanks planted two trees on a
planning grid at coordinates (0,8) and
(12, 4). Determine the distance between
the trees using the given appropriate
formula.
show all work!

Answers

Answer:

D = 12.94 m

Step-by-step explanation:

Coordinates of first tree = A(0,8)

Coordinates of second tree = A(12,4)

We need to find the distance between the two trees. We can find it using distance formula for coordinates as follows :

[tex]D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

We have, x₁ = 0, x₂ = 12, y₁ = 8, y₂ = 4

Now using distance formula,

[tex]D=\sqrt{(12-0)^2+(4-8)^2}\\\\=\sqrt{144+16} \\\\=12.64\ m[/tex]

So, the distance between the two trees is 12.64 m.

(9+7i)+(-5-31) =
add complex numbers

Answers

Answer:

4 + 4i

Step-by-step explanation:

Add the real part and add the imaginary part.

9 + 7i + (-5  - 3i) = 9 + 7i - 5 - 3i

                          = 9 - 5 + 7i - 3i

                          = 4  + 4i

Answer:

44

Step-by-step explanation:

Okay so we are given (9 + 71) + (-5 - 31).

We need to figure out the value of this expression.

First, let's solve the expression (9 + 71).

1.  (9 + 71) = 80.

Now we have 80 + (-5 - 31).

Next, let's solve the expression (-5 - 31).

2.  (-5 - 31) = -36.

We're left with 80 + (-36).

Finally, let's add the two numbers together.

80 + (-36) = 44

So (9 + 71) + (-5 - 31) = 44

Feel free to give brainliest.

Have an excellent day!

The ratio of boys to girls in 6th grade is 2:3, if there were 65 students in the class, how many girls are there? How many boys are there?

Answers

Answer:

26 boys and 39 girls

Step-by-step explanation:

if you were to divide 65 by 5 then you would get 13. all you have to do is add 13 + 13 and you would get the number of boys. for the girls you add 13 + 13 + 13.

Find the equation of the straight line passing through the point (0,2) which is perpendicular to the line y=1/4x+5

Answers

Answer:

y=-x+2

Step-by-step explanation:

2 1/2 + (-1/3)
PLz, help me with this question.

Answers

Answer:

2 1/6

Step-by-step explanation:

HELPPPP ORDER THE NUMBERS FROM LEAST TO GREATEST
-3.5, √20, negative √19, 4.9, 3/2

Answers

Answer:

[tex]\sqrt{-19} , -3.5, 3/2, \sqrt{20} , 4.9[/tex]

Negative numbers go first, the greater the number, the smaller the number.

Answer:

-√19,-3.5, √20, 4.9, 1/2

Step-by-step explanation:

Find the square root of 19 ( Which you can't)  always have the negatives go first because negatives are the greatest. Find the square root of 20, which equals 4.4, then divided 3/2 which gives you 1.5. I hope this helped! I'm not the best at explaining either.

Identify the property on this equation 5(a + 3b) = 5a + 15b

Answers

Answer:

??????????????????????

Step-by-step explanation:

Answer: Distributive Property

The term "distribution" is also used in place of "distributive"

This property says

x*(y+z) = x*y + x*z

We multiply the outer term x with each inner term (y and z). Then we add the results.

In this case,

x = 5

y = a

z = 3b

So,

5(a+3b) = 5*a + 5*3b = 5a+15b

Luis rides his bicycle 34 mile in 15 minutes, or 14 hour, along the bike trail.
Assuming he rides at a constant rate, what is his speed, in miles per hour? Use the table to help find the answer.
Enter your answer in the box.

Miles 34 ?
Hours 14 ?
miles per hour

Answers

2.615 miles per hour I think

Luis' speed in miles per hour is 136.

What is speed?

Velocity is the pace and direction of an item's movement, whereas speed is the time rate at which an object is travelling along a route.

By dividing the miles he cycled by the hours he traveled, one may calculate Luis' speed in miles per hour.

Because the measurement must be in miles per hour,

the time would be expressed in hours rather than minutes.

Speed = distance / time

Distance = 34 miles

Time = 15 minutes.

Speed =  34 ÷ 15 miles per minute.

Speed =  34 ÷ 1/4 miles per hour.

Now, speed =  34 x 4 miles per hour.

Therefore, Luis' speed is 136 miles per hour.

To learn more about the speed;

https://brainly.com/question/7359669

#SPJ2

What is the value of x in the figure?
A. 10
B. 6
C. 15
D. 12

Answers

Answer:

Step-by-step explanation:

You need to set up a proportion.

(21 - 15) / 21  = 4/(x + 4)

6 / 21 = 4/(x + 4)

2/7 = 4/(x + 4)

2(x + 4) = 7*4

2x + 8 = 28

2x + 8-8= 28 - 8

2x = 20

x = 20/2

x = 10

brainliest for right answer
Quadrilateral ABCD has coordinates A(-2,0), B(0,4), C(4,6), and D(2,2). If it is
reflected over the x-axis, what are the coordinates of C'? (Answer as an ordered
pair without spaces)

Answers

Answer:

C' (4,-6)

Step-by-step explanation:

Any point being reflected over the x-axis will undergo the following transformation:

(x, y) --> (x, -y)

(4, 6) --> (4, -6)

The coordinates of C',

C(4,6) → C'(4, -6).

What is a reflection?

A reflection is a type of transformation that involves flipping a shape, known as the preimage, over a line, known as the line of reflection, to produce a new shape (called the image). You can picture what would happen if you flipped the form over the line in order to graph a reflection.

Given:

Quadrilateral ABCD has coordinates A(-2,0), B(0,4), C(4,6), and D(2,2).

If it is reflected over the x-axis,

The reflection rule:

(x, y) → (x, -y)

The coordinates of C',

C(4,6) → C'(4, -6).

Therefore, the image point of C is C'(4, -6).

To learn more about the reflection;

https://brainly.com/question/11232423

#SPJ6

who wants to go out
girls look at my pic on profile An airline charges an extra fee if a carry-on bag weighs more than 30 pounds. After packing, Lorrie’s carry-on weighs 21.2 pounds. The inequality represents the amount of weight Lorrie can add to the carry-on without going over the 30-pound limit.

21.2 + w less-than-or-equal-to 30

How much weight can Lorrie add to the carry-on without going over the 30-pound limit?
less than 8.8 pounds
more than 8.8 pounds
no less than 8.8 pounds
no more than 8.8 pounds

Answers

Answer:

no more than 8.8 pounds

Step-by-step explanation:

75% of the items collected at the food drive were cans of soup. If 90 cans of soup were
collected, how many items were collected in all?

Answers

Answer:

67.5

Step-by-step explanation:

Answer:

120

Step-by-step explanation:

If 90 cans of soup were collected and it was 75%, take 90/3=30. If 25% of all cans is 30 then when you multiply by 4, to get 100%, you have 120 cans. Also 120/75%= 90

use the line tool and select two points to graph the line
graph f (x) = - 1.5x +6
PLEASE HELP !!!​

Answers

Answer:

Step-by-step explanation:

I WILL GIVE BARINLEST WHO HELP ME
3

Answers

Answer:

18

Step-by-step explanation:

3*6=18

A half marathon is 13.1 miles long. Which equation could be used to determine the time, t, it takes to run a half marathon as a function of the average speed, s, of a runner?

Answers

Answer:

time(t)=distance(13.1)/speed (s)

hope this helps

MARK AS BRAINLIEST

MARK AS BRAINLIEST

Answer:

Time=distance/average speed

Step-by-step explanation:

Example:

Average speed: 13.1 miles per hour

Distance: 13.1 miles

Time: x

X= distance/speed

X= 13.1/13.1

X=1

Search for Speed/Time/Distance   (Physics)

plz help asap.................................................

Answers

Answer:

There is no maximum. The minimum is (-1,-4). The shape is a parabola. Yes it is a function. It is continuous. The line of symmetry is x=1 I believe. The x intercepts are x=1 and x=-3. The y-intercept is y=3. It opens up

I am not sure about the rest.

f(x) = − 1
2
x for x = –6

Answers

Here is the explanation

Answer:

Your an idiot and i oop hahahahah thats what u did on my question. YOUR AN IDIOT UR A IDIOT U SUCK.

Step-by-step explanation:

Simplfy 7xy + 8x + 5xy + -6x

Answers

Answer:

2xy+2x

Step-by-step explanation:

PLEASE HELP ME I AM PAYING 100 POINTS!!

Mal works at a photo gallery. He charges $50 for a large photo and $40 for a large frame. Sales tax is 5%. How much total tax will a customer pay on both?
Answer the questions to show how to write and simplify expressions that represent the problem.



1. Find the total tax using the expanded expression. Did you get the same answer as you did by evaluating the original expression?


Write your answer in the space below.




2. Which expression, the original expression or the expanded expression, involves finding the total cost first, then calculating the tax on that total?


Write your answer in the space below.


no scams!

Answers

the total tax is 4.50 dollars, yes it is the same because they are the basically the same equation .

the original expression
1. Both the expanded and original have the tax pf $4.50

2. The original
:)

What do you have to increase a number by to change it's place value

Answers

Answer:

Build more buildings

Step-by-step explanation:

Answer:

change by a tenth to hundredth to thousandth to the millionth

Step-by-step explanation:

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