Question

quiz: model with one-step inequalities 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 $112 + x \leq 260$. select from the drop-down menu to correctly interpret the solution of this inequality. mikey’s family can drive choose... at most 148, more than 372, at least 148, more than 372 more miles before they need to refill the gas tank.

Explanation:

Step1: Solve the inequality \(112 + x \leq 260\)

Subtract 112 from both sides of the inequality: \(x \leq 260 - 112\)

Step2: Calculate \(260 - 112\)

\(260 - 112 = 148\), so \(x \leq 148\)
This means \(x\) (the number of additional miles) is at most 148.

Answer:

at most 148