Question

17. 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 thenearest mile.x2 84x2 78x2 80x2 88

Answer 1

88

Step-by-step explanation

Let x be the miles driven and y be the earnings of the company when they drive for x miles.

If the company charges $0.17 per mile driven plus a flat rate of $85, then the total cost for moving x miles away is,

`y=85+0.17x`

Now, we have to find for how many miles, x, the company must drive to earn $100 or more,

`85+0.17x\ge100`

Subtract 85 from both sides,

`\begin{gathered} 85-85+0.17x\geq100-85 \\ \\ 0.17x\ge15 \end{gathered}`

And divide both sides by 0.17,

`\begin{gathered} (0.17x)/(0.17)\ge(15)/(0.17) \\ \\ x\ge88.24 \end{gathered}`

Hence, the company must drive for at least 88 miles to earn at least $100, rounded to the nearest mile.