Question

8. A moving company charges a flat rate of $75 plus andadditional $0.19 per mile driven. Which inequality correctlyrepresents how far the company must drive to earn at least$100? Round to the nearest mile.x ≥ 128x ≥ 126X≥ 132x ≥ 130

Answer 1

Given that the moving company charges a flat rate of $75 plus an additional $0.19 per mile driven, let be "x" the number of miles driven.

You can represent the amount of money the company charges per mile driven with this expression:

`0.19x`

Knowing the flat rate, you can represent the total amount of money the company charges:

`0.19x+75`

In order to find how far the company must drive to earn at least $100 (greater than or equal to $100), you need to set up this inequality:

`0.19x+75\ge100`

And solve for "x":

`0.19x\ge100-75`
`0.19x\ge25`
`\begin{gathered} x\ge(25)/(0.19) \\ \\ x\ge132 \end{gathered}`

Hence, the answer is: Third option.