Question

Dave went to buy stamps. He had $5.00 to spend on $0.34 stamps. If the function f(x) = 5 - 0.34x describes the change Dave will receive, what does the variable "x" represent in this situation?

A. The amount of money that Dave spent on stamps.
B. The amount of change that Dave received.
C. The number of stamps that Dave purchased.
D. The number of envelopes that Dave purchased.

Answer 1

In the function f(x) = 5 - 0.34x, the variable x represents the number of stamps that Dave purchased. The function calculates the change Dave receives after buying stamps at $0.34 each.

Step-by-step explanation:

The variable x in the function f(x) = 5 - 0.34x represents the number of stamps that Dave purchased. When Dave buys stamps, he spends $0.34 on each stamp, so multiplying the stamp price by the number of stamps (x) gives the total cost. Subtracting this cost from the initial $5.00 that Dave had to spend gives the amount of change he receives, hence the function f(x) represents that remaining money in terms of the stamps purchased.