Question

Mikey's family is taking a road trip. Their car can travel no more than 260 miles without needing to refill the gas tank. They have traveled 112 miles since they last filled the gas tank.Mikey knows that the inequality representing this situation is 112+x≤260.Select from the drop-down menu to correctly interpret the solution of this inequality.Mikey's family can drive Choose... more miles before they need to refill the gas tank.

Answer 1

148 more miles before they need to refill the gas tank.

1) Considering that the inequality that represents this situation is:

`112+x\leq260`

Notice that in this equation "x" stands for the number of miles that he needs to finish the trip.

2) So we can solve that to find out the number of miles Mikey's family can make with the gas already in the car:

`\begin{gathered} 112+x\leq260 \\ 112-112+x\leq260-112 \\ x\leq148 \end{gathered}`

Note that we have subtracted 112 from both sides.

3) Hence, the answer is:

Mikey's family can drive up to 148 miles before they need to refill the gas tank