Question

Your friend really wants to buy the newest cell phone which will cost him $600. He gets a job detailing cars and SUVs and plans to save all the money he earns. If he gets paid $65 to detail a car and $90 to detail an SUV, what linear inequality can be used to determine how many of each he must detail in order to earn at least $600?

A) 65x+90y≥600
B) 90x+65y≤600
C) 65x+90y≤600
D) 90x+65y≥600

Answer 1

The linear inequality that can be used to determine how many cars and SUVs your friend must detail in order to earn at least $600 is 65x + 90y ≥ 600, where x represents the number of cars detailed and y represents the number of SUVs detailed.

Step-by-step explanation:

The linear inequality that can be used to determine how many cars and SUVs your friend must detail in order to earn at least $600 is 65x + 90y ≥ 600, where x represents the number of cars detailed and y represents the number of SUVs detailed.

To understand why this is the correct inequality, we can set up a system of equations:

x = number of cars detailed

y = number of SUVs detailed

$65x + $90y ≥ $600

This inequality ensures that when we multiply the number of cars detailed by $65 and the number of SUVs detailed by $90, the total earnings will be greater than or equal to $600.