Giselle is going to rent a scooter for at least one hour. The fee is $45 plus $5 for each hour it is rented. Write a function rule to describe the total cost of renting a scooter. Find a reasonable domain and range for the function if Giselle has $65.

c = 45 + 5 t

she could rent it for zero hours and pay 45. That would not be smart so start at one hour. t = 1 and c = 50
If she rents it for 4 hours, her wallet is empty. so t = 4 and c = 65 is the max of domain and range.
domain 1 to 4 hours
range 50 to 65 dollars

F(X)=45+5x

What's the function rule

Giselle is going to rent a scooter for at least one hour. The fee is $45 plus $5 for each hour it is rented. Write a function rule to describe the total cost of renting a scooter. Find a reasonable domain and range for the function if Giselle has $65.

if it says at least one hour wouldn’t it be f(x)=45+5+5x because she is renting it for one hour for sure so the 5 is guaranteed ??

To write a function rule for the total cost of renting a scooter, we need to consider the fixed fee of $45 and the additional charge of $5 for each hour the scooter is rented.

Let's define the function as C(x), where x represents the number of hours the scooter is rented. The function rule can be written as follows:

C(x) = 45 + 5x

Here, the constant term of 45 represents the fixed fee, and the term 5x represents the charges for the number of hours rented.

Now, let's determine a reasonable domain and range for this function given that Giselle has $65 to spend.

The domain represents the valid values for x, which in this case would be the number of hours the scooter is rented. Since Giselle must rent the scooter for at least one hour, the domain would start at x = 1. However, there is no upper limit given in the problem, so the domain could potentially be any positive integer value, such as x ≥ 1.

The range represents the possible values for the total cost of renting the scooter. Since the fixed fee is $45, the total cost will always be at least $45. However, as x increases, the cost will also increase by $5 for each additional hour. Therefore, the range would start at $45 and increase by $5 for each hour rented. Given that Giselle has $65, the maximum number of hours she can rent the scooter can be found by solving the following equation:

C(x) = 45 + 5x ≤ 65

Simplifying the equation, we have:

5x ≤ 20

Dividing both sides by 5, we get:

x ≤ 4

Therefore, the range would be the set of possible total costs, which in this case would be $45, $50, $55, $60, and $65.

In summary, the function rule to describe the total cost of renting a scooter is C(x) = 45 + 5x. The reasonable domain is x ≥ 1, and the reasonable range is {45, 50, 55, 60, 65}.