Question

Shawn's class is having a car wash to raise money for a project. They want to raise more than $240, and they are charging $6 to wash a car. Write an inequality and solve to find how many cars must be washed. Use x as the variable.

a) x > 40
b) x ≥ 41
c) x < 40
d) x ≤ 41

Answer 1

To raise more than $240 by charging $6 per car wash, Shawn's class must wash more than 40 cars. Since they can't wash a fraction of a car, at least 41 cars must be washed, making choice (b) x ≥ 41 the correct inequality.

Step-by-step explanation:

To determine how many cars Shawn's class must wash to raise more than $240, we can set up an inequality. They are charging $6 for each car washed, so if x represents the number of cars they must wash, the inequality would be:

6x > 240

To solve for x, divide both sides of the inequality by 6:

x > 40

This tells us that Shawn's class must wash more than 40 cars to raise more than $240. Because you can't wash a fraction of a car, Shawn's class must wash at least 41 cars. Therefore, the correct inequality is:

x ≥ 41

Answer choice (b) x ≥ 41 is the correct one.