Question

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.

Answer 1

`10= 4+.75(m-5) when- m\geq 5`

Explanation:

In order to create the inequality, we just have to keep in mind the variables and the constants of this problem, we knoe Nick has only $10 in total, so that´s what we are going to equalize to function to, we also know that they are going to charge him .75 a minute after the first 5 minutes end, so we have to multiply that by the time that he takes and to that time substract 5 minutes since the first five minutes are included in the $4 fee.

So it´d look like this:

`10= 4+.75(m-5) when- m\geq 5`

And we are only using the secon part of the inequality if he took more than 5 minutes to wash the car, either way it´d make an undesired disccount.

Answer 2

Answer: m ≤ 8

Explanation:

NOTES:

$0.75 is the rate

$4 is the flat fee

m is the number of minutes

$10 is the maximum that can be spent (so must be less than or equal to)

***************************

0.75m + 4 ≤ 10

0.75m ≤ 6

÷0.75 ÷0.75

m ≤ 8