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?

Question

Mathematics

Hazel Delgado

13 June, 15:08

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?

+2

Answers (1)

Know the Answer?

Yandel Floyd · Answer 1

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]