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.

4+0.75(m-5) ≤ 10

Step-by-step 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

both graphs increase on their domain

neither graph has a y-intercept

step-by-step explanation:

the following points can be visualized easily from the graph