Question

self-service car wash charges $4 for the initial 5 minutes plus an additional $0.75 for each minute after that. Nick only has $10 to spend on washing his car. Let m represent the number of minutes Nick spends washing his car. Create the inequality that symbolizes this situation.

Answer 1

4 + .75m =10 i am not a math expert but i hope this helps

Answer 2

4+0.75(m-5) ≤ 10

Explanation:

We start out with 4, since the car wash charges $4 for the first 5 minutes. We add to this the cost based on the minutes over 5 that he used the car wash.

Since m is the number of minutes, we first subtract 5 from this. This is because the first 5 minutes are included in the initial $4. Since each minute past 5 costs $0.75, we multiply m-5 by 0.75:

0.75(m-5)

Together this gives us

4+0.75(m-5)

He only has $10 to spend. This means he must spend less than or equal to $10; this gives us

4+0.75(m-5) ≤ 10