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

Answer:

$75+0.19m\geq 100$

Step-by-step 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 : $75+0.19m\geq 100$