Question

Please i need this like rn!

A friend gave Ms. Morris a gift card for a local car wash. The table shows the linear relationship of how the value left on the card relates to the number of car washes.


Number of car washes, x 0 8 12
Amount left on card ($), y 70 50 40


Part 1 out of 3
Enter an equation that shows the number of dollars left on the card.

The equation that represents this situation is y =

Answer 1

Explanation:

The table is:

Number of washes denoted by x: 0, 8, 12

Amount left on card denoted by y: 30, 18, 12

a. Write an equation that shows the amount of dollars left on the card

Solution:

18 – 30 divided by 8 – 0 = -12/8

On simplest form is -3/2

The equation is y = -3/2x + 30

b. Explain the meaning of the negative slope above.

As the number of car washes increase, the dollars left on the card decreases.

c. What is the maximum value of x?

0 = -3/2x + 30

2/3 x 3/2 x = 30/1 x 2/3

Cancel 2/3 x 3/2 and reduce 30 by 3 we get 10, 10 x 2

x = 20