Wild Water Adventure Waterslides park charges a rental fee plus $2 per hour to rent inflatable rafts. The total cost to rent a raft for 4 hours is $12.50. Assume the relationship is linear. Find the rate of change and the initial value. Then move on to part 'b' to interpret each of them.​

Answers

Answer 1

Answer:

m = 2, initial value = 4.5 or $4.50

Step-by-step explanation:

We know that renting a raft costs 2 dollars/hr plus some rental fee that we need to find.

We also know that renting a raft for 4 hours will cost $12.50. So we can do this:

$12.50 - (2.00 [tex]\frac{dollars}{hrs}[/tex] × 4 hrs) = $4.50, which is the "b" in the standard equation for y = mx + b

So, our equation is y = 2x + 4.5

The rate of change is the slope, which is the coefficient of the x.

m = 2

Our initial value is when x = 0.

y = 2(0) + 4.5

y = 4.5


Related Questions

What is the absolute value of the integers, 1-41, 1 +51, 1-61?​

Answers

Absolute value:

|1-41| = 40

|1+51| = 52

|1-61| = 60

Note: Absolute value will always be positive!

Hi there!

absolute value= the opposite of that number if only negative:

Step By Step Explanation:

1-41=41-1

        41-1=40

bring a negative sign if not absolute value.

1+51=51+1

        1+51=52

since it’s already in it’s abolute value it won’t change..

1-61=61-1

        61-1=60

bring a negative sign if nessary..

Therefore, the absolute value for the expression 1-41, 1 +51, 1-61 is 40,52, and 60..

please help !!!! Compare the table and equation.

x y
4 12
5 15
6 18
Equation: y = 3x

Which representation has the greatest slope?

A. The table and equation have the same slope.

B. Their slopes cannot be determined.

C. The equation has the greatest slope.

D. The table has the greatest slope.

Answers

Answer

I think A or c

Step-by-step explanation:

Your answer to this would be A, The table and equation of the same slope.

To find this, just divide Y by X. For ex, this could look something like 12 divided 4, 15 divided by 5, or 18 divided by 6.

To figure this out too, you can plug in the X and Y components into the equation to see if it checks out.

If you need any further help, please do not hesitate to ask or message me!!

is 2/6 rational or irrational

Answers

Answer:

Rational

Step-by-step explanation:

A rational number is any integer, fraction, terminating decimal, or repeating decimal.

good luck, i hope this helps :)

I think it’s rational because irrational can be written as a decimal, but NOT as a fraction

Sandy's class is going to
the zoo on a field trip. If
the bus holds 12 people
and there are 41 students
and 19 adults going, how
many buses will they need?
IS​

Answers

Answer:

5 buses

Step-by-step explanation:

Adults and students are both people, add them all up (41+19) and you get 60 People in total. If you divide that by 12 you get 5.

Hope that helps :)

1/8 the sum of 23 and 17

Answers

Answer:

5 is the right answer.......

1/8 (23+17) =5

Someone help me Plz? Will Give Brainliest!!!

Answers

Answer:

no

Step-by-step explanation:

Yes the answer is yes it does represent a function :) if the dots arent in the same row then it is a function

Solve the equation. C- 12 = -16

Answers

I think the answer is -4 sorry if wrong :)

Answer:

C = - 4

Step-by-step explanation:

C-12 = - 16

C = - 16+12

C=-4

*negetive bring to another side is positive

What is y if x is 0?

Answers

Answer: is there a picture or something i can see to help you?

No pictures ? I don’t know

what is the answer to 5 divided by 1/3

Answers

Answer:

1 2/3

Step-by-step explanation:

if your dividing fractions you have to multiply

the answer is 15

1 box contains 23 crayons, then 69 crayons can fit in ______ boxes​

Answers

Answer:

3 boxes?

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

1:23 :: x :69              (x = 69/ 23 )

1:23::2:69

1. Mr. Villa bought 91.25 inches of plastic labeling tape. He will use 1.25 inches long to label each.How many labels can he make???

Answers

1.25x=91.25 now solve for x and we get x=73 so Mr. Villa can do 73 labels

Can you answer this for me thank you

Answers

Make it into a simultaneous equation:

5p + 4e = 7.65
4p + 5e = 7.20

Use adding/subtracting formula

The cost of an eraser is $1.44

EXERCISE 1.2
0
1. In the number 53.436. how many times is the place value of the digit 3 to the right
of the digit 4 to that of the digit 3 to the left of the digit 4?

Answers

sorry di pa namin yan napapag aralan..

Answer:

pv of right 3 is 10 and that on the left is 1000 so it is 1/100 times that of left 4.

In the triangle below, which equation can be used to solve for x?

Answers

Answer:

triangle VUW

angle V=75 degrees

angle U= 50 degrees

side VU= 13 ft

Step-by-step explanation:

Find the slope and the y-intercept of the line.
y= -5/4x+5

My question: Is the slope -5/4 and the y-intercept 5?

Answers

Answer:

yes, it is

Explantion:

slope intercept form: y=mx+b

            y=-5/4+5

   b= y-intercept which in this equation is 5

   mx=slope which is -5/4

2. If you depart Los Angeles at 9:55 am and arrive in Denver, Colorado at 1:05 pm, how long was your flight?

Answers

Answer:

2 hours 10 minutes

Step-by-step explanation:

LA has a one hour time zone difference than Denver.  So if it was 9:55 am when you left LA, that is LA time.  So, in Denver it was 10:55 am.  If you land in Denver, Colorado at 1:05 pm it is the same as 12:05 pm in LA.  So you can just count the hours from 9:55 am to 12: 05 pm.

Answer:

3:10 (3 Hours and 10 Minutes)

Bryson has soccer practice for 2 1/4 hours 2 times a week. How much time does Bryson spend at soccer practice in 1 week?

Answers

15.75 is the answer for your question

Answer:

15.75

Step-by-step explanation:

solve the
Pi
Simultaneous equation
using elimination
3x+2y=2
2x+2y =-7​

Answers

Answer:

x= 9

y=-12.5

Step-by-step explanation:

3x+2y = 2×2

2x+2y =-7×3

6x+4y =4

- 6×+6y =-21

-2y =25

y=-12,5

2x+2(-12,5)= -7

2x+-25= -7

2x= -7+25

2x/2=18/2

x= 9

kevin went to the minimart and bought some drinks for$2 each and some bags of chips for $3 each. he bought 7 items and paid $18. write a system of equations that could be used to figure out how many drinks, d, and bags of chips, c, kevin bought

Answers

Answer: c=4 d=5

Step-by-step explanation:

The weight of turkeys is normally distributed with a mean of 22 pounds and a standard deviation of 5 pounds. a. Find the probability that a randomly selected turkey weighs between 20 and 26 pounds. Your answer is . Round to 3 decimals and keep '0' before the decimal point. b. Find the probability that a randomly selected turkey weighs below 12 pounds. Your answer is . Round to 3 decimals and keep '0' before the decimal point.

Answers

Answer:

a. 0.443

b. 0.023

Step-by-step explanation:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

The weight of turkeys is normally distributed with a mean of 22 pounds and a standard deviation of 5 pounds.

This means that [tex]\mu = 22, \sigma = 5[/tex]

a. Find the probability that a randomly selected turkey weighs between 20 and 26 pounds.

This is the pvalue of Z when X = 26 subtracted by the pvalue of Z when X = 20. So

X = 26

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{26 - 22}{5}[/tex]

[tex]Z = 0.8[/tex]

[tex]Z = 0.8[/tex] has a pvalue of 0.788

X = 20

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{20 - 22}{5}[/tex]

[tex]Z = -0.4[/tex]

[tex]Z = -0.4[/tex] has a pvalue of 0.345

0.788 - 0.345 = 0.443

The answer is 0.443

b. Find the probability that a randomly selected turkey weighs below 12 pounds.

This is the pvalue of Z when X = 12. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{12 - 22}{5}[/tex]

[tex]Z = -2[/tex]

[tex]Z = -2[/tex] has a pvalue of 0.023

The answer is 0.023.

Question
The figure shows the dimensions of two city parks, where ARST XYZ and YX YZ.A city
employee wants to order new fences to surround both parks. What is the total length of the fences
required to surround the parks?
R
х
230 ft.
T
Z
S
350 ft.
Y
The total length of fences needed to surround the parks is
feet.


Answers

Answer:

1860

Step-by-step explanation:

The triangles are reflections of each other and since YX=YZ we know that YZ=350

add 350+350+230=930

930×2=1860 - for both parks

A triangle has side lengths of (8d – 3) centimeters, (60 + 2) centimeters, and
(75 + 8) centimeters. Which expression represents the perimeter, in centimeters, of
the triangle?

Answers

the triangle is 75 plus 8 equals 95

Is j = 27 a solution to this equation? 2 = j/9

Answers

No because it will equal 3

Find the central angle measure

Answers

Answer:

76

Step-by-step explanation

The angle across from 104 would be the same Leaving 152 left of 360 and 152 divided by 2 is 76

Show the opposites and the T-line.
Pls help will mark brainliest

Answers

Answer:

1. x = 4       2. x = 8     3. p = 30

Step-by-step explanation:

1.    x + 7 = 11          check:      (4) + 7 = 11

         - 7   - 7                                  11 = 11

        x  =  4

2.   x - 12 = -4         check:       (8) - 12 = -4

        + 12   + 12                                -4 = -4

      x = 8

3.  multiply p/5 by 5 it cancels each other out and then you do the same thing to the other side. multiply 6 by 5 and you get 30  

check:    (30)/5 = 6

                      6 = 6

             30 divided by 5 equals 6  

                   

Work with a partner. A train travels 50 miles every 40 minutes. To determine
the number of miles the train travels in 90 minutes, your friend creates the
following table.


please help!!

Answers

The answer is 112.5 miles in 90 minutes
To create a table you can do
50:40
100:80
112.5:90
We can find the answers by multiplying the original ratio 50:40 by 2.25 we do this because 90 minutes is 2.25 times longer than 40 minutes.

help help help help
thanks​

Answers

Answer:

3, each number is being multiplied by a factor of 3

The common ratio is 3. This is because 4*3=12
12*3=36
And so on up the line. I hope that helped! :)

triple u, then raise the result to the 5th power

Answers

Answer:

243u⁵

Step-by-step explanation:

you need to put it in brackets then expand

(3u)⁵ = 243u⁵

Answer:

243u^5.

Step-by-step explanation:

Triple u = 3u.

Taking to power 5

= (3u)^5

= 243u^5.

find the length of the missing side​

Answers

Answer:

Choice D

Step-by-step explanation:

4^2 + 6^2 = c^2
52 = c^2
sqrt52 = c
a is the correct answer

The speed of a fish before jumping out of the water can be represented by the equation s = 3h, where h

represents the height, in centimeters, the fish jumps out of the water and s represents the speed of the fish in

meters per second. If the fish is swimming at 15 meters per second before jumping out of the water, how high

can the fish jump?

Answers

Answer: The fish can jump 5m high.

Step-by-step explanation:

Given that

s = 3h

where

h  = the height(cm) the fish jumps out of the water

and s = speed of the fish(meters per second)  then

3 must have seconds as its unit.

Now, If the fish is swimming at 15 meters per second

Then the fish can jump =

s= 3h

15m/s =3h

h= 15m/s/3s

h= 5 meters

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