Question 40·Easy·Linear Functions
A bike-rental shop charges a flat fee plus an hourly rate. The total cost, in dollars, to rent a bike for hours is given by the equation
What is the total cost, in dollars, to rent a bike for 3 hours?
For linear cost problems of the form , quickly identify the flat fee and the hourly rate, substitute the given time for the variable, and then follow the order of operations: multiply first, then add. Pay close attention to decimal multiplication and addition, and if you have a calculator, use it to avoid small arithmetic errors.
Hints
Identify the parts of the equation
In the equation , think about what the represents and what the represents in terms of renting a bike.
Use the given number of hours
You are told the bike is rented for 3 hours. How can you use in the equation ?
Do the operations in order
After you substitute , first multiply by , then add the result to . Be careful with decimal addition.
Desmos Guide
Use Desmos to compute the total cost
In the Desmos expression line, type 5.50 + 1.25*3 and press Enter. The value Desmos outputs is the total cost in dollars for renting the bike for 3 hours.
Step-by-step Explanation
Understand the meaning of the equation
The cost equation is
Here:
- is the flat fee (you pay this no matter how many hours you rent).
- is the cost per hour.
- is the number of hours.
Substitute 3 for the number of hours
You are renting the bike for 3 hours, so .
Substitute into the equation:
Now multiply by to find the total hourly cost.
Calculate and add the flat fee
First find the hourly part:
Now add this to the flat fee of :
So, the total cost to rent the bike for 3 hours is $9.25, which corresponds to choice D.