Example 5: Taro and Jiro climbed a mountain and hiked back down. At the suminit and at every station along the way back down, they recorded their altitude and the amount of time they had been travelling. Hiking Data Time Traveled (in minutes) Altitude (in meters) 0 3776 3600 29 3 Å 126 3020 2700 179 3 231 2390 Construct a linear function to model the relationship between Taro's and Jiro's altitude in terms of the amount of time they traveled.​

Answers

Answer 1

Answer:

i

Step-by-step explanation:

ask your teacher

Answer 2

Answer:

Let the altitude be represented by y and the time taken by x

so y = 3776 - 6x

What is a Linear Function?

A linear function is an algebraic equation with variables with a degree of only 1 and constants and is represented in a straight line form on a graph.

What is Slope?

The slope Of a straight line (which represents a linear function) is the tangent of the angle made by the line with the x-axis. For a straight line passing through (x1,y1) and (x2,y2) the slope is given by

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

How to write an equation of a Straight line?

y-y1 = m(x-x1) where y represents y co-ordinate and x represents x- co-ordinate and m is the slope of the line which passes through(x1,y1).

Solving the question with the Above concepts

So let time in minutes be represented by 'x'

So let altitude in meters be represented by 'y'

So the (x,y) coordinates according to the given data are (0,3776),(88/3,3600),(126,3020),(538/3,2700) and (231,2390).

So for slope which is m = (3600-3776)/(88/3-0) so slope = -6.

So the linear function is: y-3776 = -6(x-0)

6x+y=3776

So the linear function for the altitude in terms of the time they traveled is 6x+y = 3776

For more information about straight-line refer to https://brainly.com/question/15602982

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Related Questions

Translate to an equation, then solve.
The product of 2, and a number increased by 6, is – 24.
What is the number?

Answers

Answer:

2 (n + 6) = - 24

Step-by-step explanation:

The product (the result from multiplying) of 2, and a number increased (add) by 6, is (equals) – 24.

We use "n" to represent the unknown number.

We multiply 2 by n + 6, and that equals - 24.

Answer:

The number is -15.

Step-by-step explanation:

2x+6=-24

2x=-24-6

2x=-30

x=-30/2

x=-15

What is the value of n in this equation?

n - 409 = 732

Answers

Answer:

n = 1141

Step-by-step explanation:

To find the value of n you add 732 and 409 giving you 1141.

Answer:

n = 323

Step-by-step explanation:

this one should be easy for u. all u have to do is take the given number which can be either the minuend or subtrahend and subtract it from the difference. (minuend-subtrahend=difference)

546863 / 57379 in step by step

Answers

Answer:

0.1

Step-by-step explanation              

57379/546863  is how it should be set

          also not sure about the step by step part sorry

Answer:

9 R 30,452

Step-by-step explanation:

Kirk is taking an exam and has 1 1/2 hours to complete the test. He has used 1/3 of his time already. How much time has Kirk used already on the test?​

Answers

Answer:

30 minutes!!!!

Answer:

(1/2) half an hour.

Step-by-step explanation:

1 1/2 x 1/3 = 3/2 x 1/3 = 3/6 = 1/2

someone help me. i don’t understand this lol

Answers

Answer:

2

Step-by-step explanation:

the theorum you need for this is c^2 = a^2 + b^2, but because you have sides a and c, you need to work backwards.

Start by isolating b^2 in the equation.

c^2 = a^2 + b^2

        -a^2

c^2 - a^2 = b^2

b needs to not be squared, so take the square root of both sides

[tex]b = \sqrt{\sqrt{29}^{2} - 5^{2}[/tex]

Your answer should be 2.

what is the value of x in the equation x-7=-4x+33

Answers

Answer:

x=8

Step-by-step explanation:

Add 7 to the right side and add 4x to the left side

5x=40

divide by 5

Answer:

x=8

source=trust me bro

I NEED HELP ASAP!!!! PLEASE!!

Answers

Answer:

C

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

5f+2p=90

-5f        -5f

[tex]\frac{2p}{2}[/tex]=[tex]\frac{-5f+90}{2}[/tex]

p=[tex]\frac{-5f+90}{2}[/tex]

man pays $225 each month into an account to pay his bills. How much does he pay into the account in three years?

Answers

Answer:

$8100

Step-by-step explanation:

There are 36 months in 3 years.

225 x 36 = $8100

2n^2-6=-16
what am i supposed to be doing

Answers

Answer:

n = ±i sqrt(5)

Step-by-step explanation:

2n^2-6=-16

Add 6 to each side

2n^2-6+6=-16+6

2n^2=-10

Divide by 2

2/2n^2 = -10/2

n^2 = -5

Take the square root of each side

sqrt(n^2) = sqrt(-5)

n = sqrt(-1) sqrt(5)

n = ±i sqrt(5)

Isjfjsjsjdbsbd please sleep is important

Answers

Answer:

13 1/2

Step-by-step explanation:

What we do is convert the mixed numbers into improper fractions

1 x 2 + 1 = 3

4 x 2 + 1 = 9

our new fractions are 3/2 and 9/2

multiply 3 x 9 = 27/2

simplify into mixed number =  13 1/2

if 15 baseballs cost $9 how much would 30 baseballs cost

Answers

Answer:
$18

Explanation :
15b (baseballs) = $9
15b + 15b = 30b so,
$9 + $9 = $18

Corner Grocery charges $4.80 for 12 sodas. Max's Market charges $5.25 for 15 sodas.

Which store has the best unit price on sodas, and by how much?

Answers

Answer:

To do this, just do 12 divided by 4.80 = 2.5 dollars per can at Corner Grocery, and at Max's Market 15 divided by 5.25 = 2.85 per can. So the Corner Grocery has a better unit price by 35 cents.

Thanks for your question.

Answer:

i dont know

Step-by-step explanation:

i dont know

12) The Royals softball team played 75 games and won 55 of them. What percent of the games did they lose? (round to the nearest tenth) ​

Answers

They lost 26.7 percent of games.

Which graph represents the function h(x) = Ix| + 0.5?

Answers

Answer: The third option.

Step-by-step explanation:

This question requires knowledge of translation of equations.  It utilizes a very simple vertical shift, which can be found via f(x) = f'(x) + a, where the graph is moved up a units.  In this case, a is 0.5.

Hope it helps and let me know if you want me to elaborate.

Answer:

Third graph

Step-by-step explanation:

3rd graph is the right one. Top left corner one.

Reson:

Transformation in y coordinates is by up 0.5

Which is 3rd one

Pls help i don't know Anymore​

Answers

1/3

本题已由中国数学会官方解答(现有会员:2人)

A person has $20,000 to invest. As the person's financial consultant, you recommend that the money be invested in Treasury bills that yield 3%, Treasury bonds that yield 6%, and
corporate bonds that yield 9%. The person wants to have an annual income of $1170, and the amount invested in corporate bonds must be half that invested in Treasury bills. Find
the amount in each investment.
What is the solution? Select the correct choice below and fill in any answer boxes within your choice

Answers

He invested $ 2000 in Treasury bills, $ 1000 in corporate bonds and $ 17000 in Treasury bonds.

Given that a person has $ 20,000 to invest, and as the person's financial consultant, you recommend that the money be invested in Treasury bills that yield 3%, Treasury bonds that yield 6%, and corporate bonds that yield 9%, and the person wants to have an annual income of $ 1170, and the amount invested in corporate bonds must be half that invested in Treasury bills, to find the amount in each investment the following calculation must be performed:

10,000 x 0.03 + 5,000 x 0.09 + 5,000 x 0.06 = 1050 8,000 x 0.03 + 4,000 x 0.09 + 8,000 x 0.06 = 1080 2,000 x 0.03 + 1,000 x 0.09 + 17,000 x 0.06 = 1170

Therefore, he invested $ 2000 in Treasury bills, $ 1000 in corporate bonds and $ 17000 in Treasury bonds.

Learn more about quantities in https://brainly.com/question/25789591

54 + 38
-
= (52 +
D + 38
-
=52+ (
+38)
= 52 +
II

Answers

Answer:

568+567899675433235+453dtu

Which fractions have a decimal equivalent that is a repeating decimals select all that apply

Answers

Answer:

19/3 = 6.33333……

9 11/16 = 9.6875

a) 0.818

b) 0.8

c) 3.4

d) 0.55555……

Step-by-step explanation:

The length of a rectangular plot is 2 1/3 m. The area of the reclangle is5 1/3 m? What is the width of the plot?

Answers

Answer:

Step-by-step explanation:

Width = Area÷ length

         = 5 1/3 ÷ 2 1/3

         = 16/3 ÷ 7/3

        [tex]= \dfrac{16}{3}*\dfrac{3}{7}\\\\\\=\dfrac{16}{7}\\\\=2\dfrac{2}{7}[/tex]

Bartley has Five-sevenths of a cup of whole milk and One-seventh of a cup of skim milk. He combines the milk into one container to make a protein shake.

How many cups of milk does Bartley have?

Answers

Answer:

Bartley has 50 cups of milk

Step-by-step explanation:

5/7 cups of milk so that will be they answer because your droping it and not hearing it

Help please me please

Answers

Answer:

5n^3

Step-by-step explanation:

For this type of problem, you can do the numbers and the variables separately and then combine them at the end.

First, lets do the variables:

n^4 has the following factors: n^1, n^2, n^3, n^4

n^3 has the following factors: n^1, n^2, n^3

The greatest common factor is n^3

Now for the numbers.

5 has the following factors: 1,5

30 has the following factors: 1,2,3,5,6,10,15,30

The greatest common factor is 5

Put it all together and the answer is 5n^3

Answer:

the greatest common factor between those is 5n^3

Step-by-step explanation:

So if you factor out 5n^3 you would have,

5n^3(n+ 6)

Find the degree of this polynomial.
k^6 + 8K^5 + 8K^4 - 9k^2

Answers

Step-by-step explanation:

that is easy : 6

let's write it a bit nicer and more readable :

k⁶ + 8k⁵ + 8k⁴ - 9k²

the highest exponent is 6 for k.

and that is the degree of the polynomial.

if Angle 4 = 6x+8 and Angle 3 = 20x+16 find the measure of all Four Angles

Answers

Answer:

40 on edge

Step-by-step explanation:

2021

Kaya invests £4000 for 8 years
The investment gets compound interest of x% per annum
At the end of 8 years the investment is worth £6872.74
Work out the value of x

Answers

To find the interest rate on the investment for 8 years is equal to 0.7%

Given the following data:

Principal = £4000Future value = £6872.74Time = 8 years

To find the interest rate on the investment for 8 years:

Mathematically, compound interest is given by the formula:

[tex]A = P(1 + r)^{t}[/tex]

Where;

A is the future value.P is the principal or starting amount.r is annual interest rate.t is the number of years for the compound interest.

Substituting the given parameters into the formula, we have;

[tex]6872.74 = 4000(1 + r)^{8}\\\\(1 + r)^{8}=\frac{6872.74}{4000} \\\\(1 + r)^{8}=1.7182\\\\1+r=\sqrt[8]{1.7182} \\\\1+r =1.07\\\\r=1.07-1\\\\r=0.7[/tex]

Interest rate, r = 0.7%

Read more: https://brainly.com/question/22339845

Divide 4.5kg in the ratio 4:5

Answers

Answer:

2 Kg and 2.5Kg.

Step-by-step explanation:

Total number of parts = 4 + 5 = 9.

So the required quantities are 4*4.5 / 9 and 5*4.5/9

= 2 and 2.5.

Answer:

2 : 2.5

Step-by-step explanation:

4 : 5 ----> 4x, 5x

4x + 5x = 4.5

9x = 4.5

x = 4.5 / 9

x = 0.5

4x

= 4 x 0.5

= 2

5x

= 5 x 0.5

= 2.5

4 : 5

= 4x : 5x

= 2 : 2.5

4(2x+3)+4(3x+2) i need to expand and simplify it

Answers

Answer:

8x+12+12x+8=0

20x+20=0

20x=-20

x=-1

Answer:

20

Find the length of the third side. If necessary, write in simplest radical form.

Answers

a^2 + b^2 = c^2

(5)^2 + (5)^2 = c^2

50 = c^2

Square root each side

c = 5√2

Trinity purchase a 2 L bottle of soda from the store how many millimeters of soda did Trinity purchase

Answers

Answer:

Final answer: The best deal is the 2 L bottles for $1.79 each. We'll need 12 of them, which will cost us $21.48

Step-by-step explanation:

Hope it's helpful

We need to convert 2L to mL

1L=1000mL

Now convert

[tex]\\ \tt\hookrightarrow 2L[/tex]

[tex]\\ \tt\hookrightarrow 2(1000)[/tex]

[tex]\\ \tt\hookrightarrow 2000mL[/tex]

A 30 ft building casts a shadow that is 75 ft. long. A nearby tree casts a shadow that is 35 ft. long. How tall is the tree?

Answers

Answer:

The tree is 14 ft. tall.

Step-by-step explanation:

Height of the building/ Height of the tree  = Shadow of building/ Shadow of tree

30/x = 75/35           Cross multiply

75x = (30)(35)

75x = 1050

x = 1050/75

x = 14

The graph of g(x) is a transformation of the graph of f(x)=3^x.

Enter the equation for g(x) in the box.

g(x) =

Answers

Transformation involves changing the position of a graph

The equation of g(x) is [tex]\mathbf{g(x) = 8(2)^x}[/tex]

A geometric function is represented as:

[tex]\mathbf{y =ab^x}[/tex]

The graph of g(x) passes through (-1,4) and (-2,2)

So, we have:

[tex]\mathbf{2 =ab^{-2}}[/tex]

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

Divide both equations

[tex]\mathbf{\frac{4}{2} =\frac{ab^{-1}}{ab^{-2}}}[/tex]

Divide

[tex]\mathbf{2 =b}[/tex]

Rewrite as:

[tex]\mathbf{b =2}[/tex]

Substitute 2 for b in [tex]\mathbf{4 =ab^{-1}}[/tex]

[tex]\mathbf{4 = a2^{-1}}[/tex]

Multiply both sides by 2

[tex]\mathbf{8 = a}[/tex]

Rewrite as:

[tex]\mathbf{a = 8}[/tex]

Substitute 2 for b and 8 for a in [tex]\mathbf{y =ab^x}[/tex]

[tex]\mathbf{y = 8(2)^x}[/tex]

Express as a function

[tex]\mathbf{g(x) = 8(2)^x}[/tex]

Hence, the equation of g(x) is [tex]\mathbf{g(x) = 8(2)^x}[/tex]

Read more about function transformation at:

https://brainly.com/question/13810353

Answer:

g(x)=8(2)^x

Step-by-step explanation:

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