A car rental company charges a base fee and an additional cost per day for renting a car. The total cost (in dollars) for renting a car is modeled by the equation:

C=30d+50


where:

d
represents the number of days the car is rented.

C
represents the total cost in dollars.

The company does not allow negative rental days, and customers can rent a car for a maximum of 14 days.

Which of the following correctly represents the domain of this function in this context?

(1 point)
Responses

[0,50]
left bracket 0 comma 50 right bracket

[0,14]
left bracket 0 comma 14 right bracket

[−53,0]
left bracket negative 5 thirds comma 0 right bracket

[1,80]
left bracket 1 comma 80 right bracket
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1 answer

In this context, the variable \( d \) represents the number of days the car is rented. Since the company does not allow negative rental days and customers can rent a car for a maximum of 14 days, the valid range of \( d \) is from 0 to 14, inclusive.

Therefore, the correct representation of the domain of this function is:

\[ [0, 14] \]

So, the answer is:

[0,14]