A moving company charges a flat rate of $85 plus and additional $.17 per mile driven. How far must the company drive to earn @ least $100? Round to the nearest mile.

number of miles ---- x

85 + .17x > 100
.17x > 15
x > 88.23..

Must drive at least 89 miles

(it said to round off to nearest mile, BUT
at 88 miles , they have not earned $100
.17(88) + 85 = 99.96 )

To determine how far the moving company must drive to earn at least $100, we can set up an equation. Let's denote the distance driven in miles as "x".

The equation is as follows:
TotalCost = FlatRate + PerMileRate * Distance

In this case, the flat rate is $85 and the additional charge per mile driven is $0.17. We want to figure out when the total cost reaches $100:

$100 = $85 + $0.17 * x

To solve this equation, we can rearrange it to isolate the "x" variable:

$0.17 * x = $100 - $85

$0.17 * x = $15

Now, we can solve for "x" by dividing both sides of the equation by $0.17:

x = $15 / $0.17

x ≈ 88.24

Rounding this to the nearest mile, the company must drive approximately 88 miles to earn at least $100.