Question

A moving company charges a flat rate of $75 plus and additional $0.19 per mile driven. Which inequality correctly represents how far the company must drive to earn at least $100? Round to the nearest mile.

Answer 1

X = number of miles driven
Since $0.19 per mile driven is added, that's + 0.19x
Flat rate of $75 initially, 75 + 0.19x

The inequality is at least $100 which means $100 or more.
75 + 0.19x < 100
0.19x < 25
x < 131.58
x < 132

The driver needs to drive 132 miles to earn at least $100

Answer 2

For this case, the first thing we must do is define a variable.

We have then:

x: number of miles.

By the time the company earns at least $ 100 we have the following inequality:

$0.19x + 75 \geq100$

From here, we clear the value of x.

We have then:

$0.19x\geq 100 - 75$

$0.19x\geq25$

$x\geq \frac{25}{0.19}$

$x\geq 132$

Answer:

the company must drive to earn at least $ 100 more than or equal to 132 miles