Question

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?

Answer 1

its option A

Explanation:

Answer 2

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]

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]