Solve
FUNDRAISING The Pep Club rented a shaved ice machine to sell shaved ice as a fundraiser. They paid an initial fee and then an hourly
charge. The table shows the cost per hour. Find and interpret the rate of change and initial fee. Assume the relationship between the two
quantities is linear
Number of
3
14
s
Hours, x
Cost (S).
30 35 140 145
Oa 5,50; The rate of change is $5 per hour. The initial value is $50.
Ob. 20,5; The rate of change is $20 per hour. The initial value is $5.
Oc 5,25; The rate of change is $5 per hour. The initial value is $25.
Od 5, 20; The rate of change is $5 per hour. The initial value is $20.

Answer:

Sorry it's late but it was C

The true option is (d) 5, 20; The rate of change is $5 per hour. The initial value is $20.

(a) The rate of change

Write out any two points from the table

(x,y) = (2,30) (4,40)

So, the rate is calculated using the following slope formula

[tex]Rate = \frac{y_2-y_1}{x_2 -x_1}[/tex]

This gives

[tex]Rate = \frac{40-30}{4-2}[/tex]

Simplify

[tex]Rate = \frac{10}{2}[/tex]

Divide the fraction

[tex]Rate = 5[/tex]

So, the rate is $5

(b) The initial value

This is the y value, when x = 0.

Represent this point with (0,y).

Calculate the slope (m) of the table using points (0,y) and (2,30).

So, we have:

[tex]m = \frac{30 - y}{2-0}[/tex]

This gives

[tex]m = \frac{30 - y}{2}[/tex]

Substitute 5 for m

[tex]\frac{30 - y}{2} = 5[/tex]

Multiply both sides by 2

[tex]30 - y = 10[/tex]

Collect like terms

[tex]y = 30 -10[/tex]

[tex]y = 20[/tex]

Hence, the initial value is $20

Read more about linear functions at:

https://brainly.com/question/15602982

In ΔABC, the measure of ∠C=90°, the measure of ∠A=63°, and AB = 35 feet. Find the length of CA to the nearest tenth of a foot.

It takes 32 minutes to bike 8 miles on the trail. How long would it take to
bike 2 miles? Help please!!!!

plz help i will give brainliest

State if each triangle is a right triangle.

Rakesh Travels 45 km in 54 minutes how much time will he take to travel 70 kilometre ​

I need help with question 3 please

WILL MARK BRAINLIEST TO THE FIRST PERSON

Which of the following is not a Unit fraction.

Does anyone know this

what is the name for the median of the lower half of data values?

Which expressions are equivalent to (5g+3g+4)x2

A beetle was running along a number line...
Then, the bug ran from 57 to 81. What distance did it cover? If this run took the bug
8 seconds, what was its average speed?
The distance was
units and the average speed was
units per second

what is the y-value of the solution to the system:{3x+4y=-6,5x+2y=4

Every row consists of 2,3 and 2 seats each. If there are 51 horizontal rows, and 13 seats are empty. How many passengers are on board?

Part of a cross-country skier's path can be described with the vector function r = <2 + 6t 2 cos(t), (15 − t)(1 sin(t))> for 0 ≤ t ≤ 15 minutes, with x and y measured in meters.

The derivatives of these functions are given by x′(t) = 6 − 2sin(t) and y′(t) = −15cos(t) + tcos(t) − 1 + sin(t).

Find the slope of the path at time t = 4. Show the computations that lead to your answer.

Find the time when the skier's horizontal position is x = 60.

Find the acceleration vector of the skier when the skier's horizontal position is x = 60.

Find the speed of the skier when he is at his maximum height and find his speed in meters/min.

Find the total distance in meters that the skier travels from t = 0 to t = 15 minutes.

Sandy can hold her breath 5/6 minute. Adele can hold her breath 3/6 minute longer than Sandy. How long can Adele hold her breath?

Artie
25%
Len
20%
Wen
30%
Gina
25%
Artie, Len, Gina, and Wen divided a carton of baseball cards as shown in the circle graph above. If Wen's
share was 60 cards, what was Gina's share of the cards?
25
50
100
200

9) help me pls I have the ANSWERS I just need to show the WORK

How would you “find “x” in the diagram?

Answer: D

i’ll give a brainiest to the correct answer!!!!

If CA= 4x and CB= 8x-12 , what is the length of CA ?

Determine which translations would map Figure L onto Figure M. Help please !!!!!!! Will be marking Brianliest !!!!!!!!!!!!!!!

Ada writes down at random a whole number larger than 1 and smaller than 11. Find the probability that it is....
a) Odd
b) even
c)a perfect square
d) a power of 2

The difference between four times a number x and 5 is 24.

Can you guys please help me!!!

Use the work shown below to write the equation for a line that has a slope of Negative two-fifths and passes through (15, –2).

y = mx + b

1. Substitute the known values: negative 2 = negative two-fifths (15) + b. 2. Solve for b: negative 2 = negative 6 + b. b = 4.
What is the equation of the line in slope-intercept form?

Negative 2 = negative two-fifths x + 4

y = negative two-fifths (15) + 4

y = negative two-fifths x minus 4

y = negative two-fifths x + 4

What is the solution to the system of equations? y = x + 3 3x - 4y = -7

Complete the number sentence to solve. Enter the answer in simplest form. Four students share 6 granola bars equally. How many granola bars does each student get? 6 ÷ = Each student's share is granola bars.

The more often a lie is told, the more people will believe it. Many mathematical models for this psychological ploy exist

What is half of one inch?

For the boxplot


What percent of the students are above 75%?

A: 75%
B: 25%
C: 50%
D: 0%