Question

Levi has joined the a Frequent Coffee Buyer program with a local cafe. The program costs $5 per month which allows him to get a discounted coffee price of $3 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
total monthly cost
, and the dependent variable is the
number of coffee cups purchased
, because the
total monthly cost
depends on the
number of coffee cups purchased
.
A function relating these variables is A(x) =A(x)=
.
So A(12) =A(12)=
, meaning 1212
cups of coffee will cost


dollars monthly
.

Answer 1

The independent variable is the total monthly cost and the dependent variable is the number of coffee cups purchased. The function relating these variables is A(x) = 5 + 3x. For example, 12 cups of coffee will cost $41 monthly.

Step-by-step explanation:

The independent variable in this scenario is the total monthly cost, represented by the variable x. The dependent variable is the number of coffee cups purchased, represented by the function A(x). The function relating these variables can be written as A(x) = 5 + 3x, where 5 is the fixed cost and 3 is the cost per cup of coffee.

To find the cost for purchasing 12 cups of coffee, we can substitute x = 12 into the function A(x). This gives us A(12) = 5 + 3(12) = 5 + 36 = 41. Therefore, 12 cups of coffee will cost $41 monthly.