Question

A car rental company charges a $30 per day that a car is rented, up to 5 days. A rental fee of $22 per
day is charged for a car that is rented between 6 and 10 days, inclusive. A car that is rented for 11
days or more has a fee of $17 per day.
Which of the following piecewise-defined functions represents this situation, where C(d) represents the total cost of the rental and d represents the number of days the car is rented

Answer 1

The piece-wise function is:

$C(d) = 30d, 0 \leq d \leq 5$

$C(d) = 22d, 6 \leq d \leq 10$

$C(d) = 17d, d \geq 11$

Which is given by option A.

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A piece-wise function is a function that has multiple definitions, depending on the value of the input.

In this problem:

• The input is the number of days d.
• The output is the cost of renting the car for this number of days C(d).

A car rental company charges a $30 per day that a car is rented, up to 5 days. Thus, between 0 and 5 days, the cost is given by:

$C(d) = 30d, 0 \leq d \leq 5$

A rental fee of $22 per  day is charged for a car that is rented between 6 and 10 days, inclusive. Thus, the cost is:

$C(d) = 22d, 6 \leq d \leq 10$

A car that is rented for 11  days or more has a fee of $17 per day. Then:

$C(d) = 17d, d \geq 11$

Then, combining the definitions, the piece-wise function is:

$C(d) = 30d, 0 \leq d \leq 5$

$C(d) = 22d, 6 \leq d \leq 10$

$C(d) = 17d, d \geq 11$

Which is given by option A.

A similar problem is given at https://brainly.com/question/13205719