Question

select the correct answer
jamal is comparing his transportation options for an upcoming trip. hes considering a rental car and a taxi service. based on his planned routes during his trip, he expects a taxi service would cost about $128. jamal could also get a rental car for a daily rate and unlimited miles. if jamals trip will last 4 days and he expects to pay about $24 for gas, which graph shows the range of car rental rates that would be cheaper than the taxi service?
○ a.
○ b.
○ c.
○ d.

Explanation:

Step1: Set up the inequality

Let \(x\) be the daily rental rate of the car. The total cost of the rental car is \(4x + 24\). We want this cost to be less than \(128\), so the inequality is \(4x+24<128\).

Step2: Solve the inequality for \(x\)

Subtract \(24\) from both sides: \(4x<128 - 24\), so \(4x<104\).
Divide both sides by \(4\): \(x < \frac{104}{4}\), so \(x<26\).

Answer:

A.