Given that the moving company charges a flat rate of $75 plus an additional $0.19 per mile driven, let be "x" the number of miles driven.
You can represent the amount of money the company charges per mile driven with this expression:
Knowing the flat rate, you can represent the total amount of money the company charges:
In order to find how far the company must drive to earn at least $100 (greater than or equal to $100), you need to set up this inequality:
And solve for "x":
Hence, the answer is: Third option.