Mrs. Beckner is going to Hawaii. She plans to learn to surf. The Surf Hut company charges an initial fee of $65 for the lesson plus $2.50 for each hour she uses the surfboard.
Select from the following answers to fill in the blanks below, a) dependent variable b) independent variable c) function d) input function
1. The number of hours is the ___________
2. The total cost of the surf lesson and surfboard is the ____________ Select from the following to fill in the blanks
Write a function for the total cost of the surf lesson and surfboard rental. Show all your work
1. The number of hours is the independent variable.
2. The total cost of the surf lesson and surfboard is the dependent variable.
Function:
Let x be the number of hours.
The total cost (in dollars) of the surf lesson and surfboard rental can be represented by the function:
f(x) = 65 + 2.50x
1. The number of hours is the independent variable.
2. The total cost of the surf lesson and surfboard is the dependent variable.
Function for the total cost of the surf lesson and surfboard rental:
Let x represent the number of hours.
The initial fee for the lesson is $65.
The cost per hour for using the surfboard is $2.50.
The total cost can be represented by the function:
Cost(x) = 65 + 2.50x
1. The number of hours is the independent variable, as it is the input that Mrs. Beckner can control and manipulate.
2. The total cost of the surf lesson and surfboard is the dependent variable, as it depends on the number of hours Mrs. Beckner uses the surfboard.
To write a function for the total cost of the surf lesson and surfboard rental, we can use the following formula:
Total Cost = $65 (initial fee) + $2.50 (hourly rate) * Number of Hours
or in mathematical notation:
Cost(h) = 65 + 2.50h
where h represents the number of hours Mrs. Beckner uses the surfboard.