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:
[tex]0.19x[/tex]Knowing the flat rate, you can represent the total amount of money the company charges:
[tex]0.19x+75[/tex]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:
[tex]0.19x+75\ge100[/tex]And solve for "x":
[tex]0.19x\ge100-75[/tex][tex]0.19x\ge25[/tex][tex]\begin{gathered} x\ge\frac{25}{0.19} \\ \\ x\ge132 \end{gathered}[/tex]Hence, the answer is: Third option.
