Question

You plan to rent a car from XYZ Car Rental Company for a flat rate of $35 a

Answer 1

Answer:

The piece-wise function is;

$f\left (x \right ) = \begin{cases} \ 45 \times x & \text{ if } x \leq 3 \ days \\ \ 40 \times x & \text{ if } x > 3 \ days\end{cases}$

Step-by-step explanation:

The flat rate for renting the car = $35 per day

The amount charged as insurance fee per day for renting the car for 3 days or less = $10

The insurance fee charged per day when the car is rented for more than 3 days = $5

Let the number of days = x

Therefore, we have;

For x ≤ 3, f(x) = 35 × x + 10 × x = x × (35+10) = 45·x

For x > 3, f(x) = 35 × x + 5 × x = x × (35+5) = 40·x

Therefore;

The charge rate for renting the car for less than or equal to 3 days = 45·x

The charge rate for renting the car for more than 3 days = 40·x

The piece-wise function can be presented as follows;

$f\left (x \right ) = \begin{cases} \ 45 \times x & \text{ if } x \leq 3 \ days \\ \ 40 \times x & \text{ if } x > 3 \ days\end{cases}$