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

Answer:

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

A ={x| 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| 0 ≤ x < 26} [where x is in dollar]