Question

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

If you plan to use the car for 3 days or fewer, you must also pay a $10 insurance

fee per day. If you plan to use the car for more than 3 days, there is a $5

insurance fee per day. Write a piecewise-defined function that models this

function.

Answer 1

`f(x) = \left \{ {{35x + 10, x \leq 3} \atop {35x + 5x = 40x, x>3}} \right.`

Explanation:

Let x be the number of days you want to rent

The flat rate for car rental is $35 a day

As for insurance, $10 for 3 days or fewer, and $5 per day if more than 3 days that is

`\left \{ {{10, x \leq 3} \atop {5x, x>3}} \right.`

Combine this with the flat rental rate $35 a day and we have

`f(x) = \left \{ {{35x + 10, x \leq 3} \atop {35x + 5x = 40x, x>3}} \right.`