Select the correct answer.
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 dally 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?

Respuesta :

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]

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]

The range of rental car rates that would be cheaper for Jamal than the taxi service and the graph of inequality x<26 is shown.

What is inequality?

It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.

Let's suppose the rental car rate is:

$x per day

Number of days of Jamal's trip = 4 day

He expects to pay $24 for gas (for car rent)

He expects a taxi service would cost about $128

Inequality can be modelled:

128 > 24 + 4x

4x < 104

x < 26

Thus, the range of rental car rates that would be cheaper for Jamal than the taxi service and the graph of inequality x<26 is shown.

Learn more about the inequality here:

brainly.com/question/19491153

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