a moving company charges a flat rate of $85 plus and additional $0.17 per mile driven. How far must the company drive to earn at least $100? Round to the nearest mile.

They get $85 for just getting in the truck and starting the engine.

To earn $100, they need another $15 for mileage.

$15 / 0.17 = 88.2 miles

Rounded to the nearest mile, it's 88 miles (but that still leaves them 4¢ short).

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lublana lublana · Answer 2 · 2019-11-20T03:39:09-05:00

Answer:

Atleast 88 miles

Step-by-step explanation:

We are given that

A moving company charges a flat rate=$85

Cost of 1 mile driven=$0.17

We have to find the distance drive by the company to earn at least $100.

Let x mile drive by company .

According to question

[tex]85+0.17x\geq 100[/tex]

Subtract 85 on both sides of inequality

[tex]85+0.17x-85\geq 100-85[/tex]

[tex]0.17x\geq 15[/tex]

Divide by 0.17 on both sides

[tex]x\geq \frac{15}{0.17}[/tex]

[tex]x\geq 88.23[/tex]

[tex]x\geq 88[/tex] (round to nearest mile)

Hence, the company must drive atleast 88 miles to earn atleast $100.