Question

Select the correct answer from each drop-down menu. A 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. M + ? A car enthusiast magazine recommends spending at least 15 minutes to properly wash a car. Does Nick have enough money to follow this recommendation?

Answer 1

Here's the answer <3

Step-by-step explanation:

Answer 2

Nick needs $11.50 to wash his car for at least 15 minutes. But, he has only $10. So, he does not have enough money.

Step-by-step explanation:

Given information : A self-service car wash charges $4 for the initial 5 minutes plus an additional $0.75 for each minute after that.

Let the cost for car wash for M minutes be = x

Equation forms;
`x=4+0.75(M-5)` ; .....(1)

when M= 5, x=4 (initial 5 minute cost)

Now, we also know that one should spend at least 15 minutes to properly wash a car. So, inequality for number of minutes become
`M\geq 15`

Now plugging
`M\geq 15` in equation (1) we get,

`x\geq 4+0.75(15-5)`

`x\geq 4+0.75(10)`

`x\geq 4+7.5`

`x\geq 11.5`

This shows that Nick needs $11.50 to wash his car for at least 15 minutes. But, he has only $10. So, he does not have enough money.