Jamal is comparing his transportation options for an upcoming trip. He's 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 Jamal's 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?

The range of rental car rates that would be cheaper for Jamal than the taxi service is given by,

A = 0 ≤ x < 26 [where x is in dollar]

Step-by-step explanation:

Let, the car rental rate be $ x per day.

Jamal's trip will last for 4 day.

He expects to pay $ 24 for gas (if he rents the car)

He expects a taxi service would cost about $ 128

So, for the rental car option to be cheaper than the taxi option, the following inequality must follow,

128 > 24 + 4x

⇒ 4x < 104

⇒ x < 26

So, the range of rental car rates that would be cheaper for Jamal than the taxi service is given by,

A = x [where x is in dollar]