Afriend gave ms. morris a gift card for a local car wash. the table shows the linear relationship of how the vuale left on the card relates to the number of car washes

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

+25 = x

step-by-step explanation:

here x is the hypotenuse of a right triangle whose legs are 7 and 24.   by the pythagorean theorem, 7² + 24² must equal x²:

x² = 49 + 576 = 625.   thus, x = +√625 = +25 = x