Question

Ethan is renting a car. It costs $45 per day. Write a function that represents the total amount he spends on the car rental. Be sure to indicate any domain restrictions.

Answer 1

Let be "x" the number of days.

According to the information given in the exercise, the cost for renting a car is $45 per day.

Then, knowing the above, you can set up the following function to represent this situation:

`f(x)=45x`

You can identify that this is a Linear Function.

By definition, the Domain is the set of input values (x-values) for which a function is defined.

Since in this case, you have a Linear Function, you know that the line continues forever in both directions. Then, for any input value (x-value), you will get an output value (y-value). Therefore:

`Domain\colon All\text{ }Real\text{ }Numbers`

Hence, the answer is:

`f(x)=45x`

There are no Domain restrictions.