Question

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

Answer 1

`75+0.19m\geq 100`

Explanation:

Given : A moving company charges a flat rate of $75 plus an additional $0.19 per miles driven.

To Find : Which inequality correctly represents how far the company must drive to earn at least $100?

Solution:

Fixed charge = $75

Cost of 1 mile = $0.19

Let m be the no. of miles

So, Cost of m miles = 0.19m

So, Total cost = 75+0.19m

Now we are given that the company must drive to earn at least $100.

So, Inequality becomes :
`75+0.19m\geq 100`

`75+0.19m\geq 100`

`0.19m\geq 100-75`

`0.19m\geq 25`

`m\geq 131.57`

So, the company must drive 132 or more miles to earn at least $100.

Hence inequality correctly represents how far the company must drive to earn at least $100 is :
`75+0.19m\geq 100`