Movers

A mover charges $500 for the first 100 miles plus $10 for each additional mile. If C represents the charge and M represents miles. What would the equation look like for this question?

C = 500 + 10M

Wouldn't it be this?

C=500+10M-100)

I meant

C=500+10(M-100)

Yes. I was wrong. Your last equation is correct.

Thanks!

To write an equation for this question, we can break down the information provided. Let's denote the charge as C and the number of miles as M.

We are given that the mover charges $500 for the first 100 miles. This means that for any M value up to 100, the charge C is always $500. So, the equation for this part would be:

C = $500, for M ≤ 100

Additionally, the mover charges $10 for each additional mile beyond the first 100 miles. This means that for any M value greater than 100, the charge C increases by $10 for each additional mile. So, the equation for this part would be:

C = $500 + $10(M - 100), for M > 100

Combining both equations, we have:

C = $500, for M ≤ 100
C = $500 + $10(M - 100), for M > 100

This equation represents the charge C depending on the number of miles M.