Question

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. 0 8 Number of car washes, X Amount left on card ($), y 12 20 50 30 Part 1 Enter an equation that shows the number of dollars left on the card. The equation that represents this situation is y = -2.5x+50 Part 2 Complete the explanation of the meaning of the negative slope In this situation. The amount of dollars decreases as the number of car washes increases Part 3 out of 3 What is the maximum value of x that makes sense in this context? Complete the explanation. The maximum value that x can take on is because, after that number of washes, there is not enough money left on the card for another car wash. Check Next

Answer 1

Given data:

The expression for the amount of money is y=-2.5x+50.

The given expression can be written as,

2.5x=50-y

x=(50-y)/2.5

x become maximum when y is minimum and the minimum value of y is zero.

so, the maximum value of x is,

x =50/2.5

=20

Thus, the maximum value of x is 20.