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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

User Daniel Liuzzi
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1 Answer

23 votes
23 votes

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.

User Eve Juan
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