Question

Charlotte has joined the a Frequent Coffee Buyer program with a local cafe. The program costs $5 per month which allows her to get a discounted coffee price of $2.5 per cup. Answer the questions below regarding the relationship between the of number of cups of coffee purchased and the total monthly cost.
The independent variable, x, represents the
number of coffee cups purchased
, and the dependent variable is the
total monthly cost
, because the
number of coffee cups purchased
depends on the
total monthly cost
.
A function relating these variables is A(x) =A(x)=
.
So A(10) =A(10)=
, meaning 1010


.

Answer 1

The equation will be A(x) = 5 + 2x and the independent variable will be the number of coffee cups that are purchased.

How to calculate the equation

Since the program costs $5 per month which allows her to get a discounted coffee price of $2.5 per cup.

The independent variable x, represents the number of coffee cups purchased. The dependent variable is the total monthly cost.

The function is A(x) = 5 + 2x. The cost for 10 cups will be:

= 5 + 2x

= 5 + 2(10)

= 5 + 20

= 25

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