Question

Which of the following scenarios could be modeled by a step function? A. A moving company charges $65 per hour. They round minutes up to the next hour.

B. A sports shop tracks its total monthly sales of surfboards over 5 years. They note a peak in sales every year in the months of June and July followed by a steady decline and almost no sales during the winter months.

C. A restaurant allows patrons to choose one meat and two sides from their lunch menu for a set price. Additional sides are $2.50 each.

D. A savings account at Best Bank provides an interest rate of 8% per year on accounts with balances of at least $1,000

Answer 1

A. A moving company charges $65 per hour. They round minutes up to the next hour.

Explanation:

Let's define

x: hours worked

C(x): cost charged

The step function will be:

C(x) = 65 0 ≤ x ≤ 1

C(x) = 130 1 < x ≤ 2

C(x) = 195 2 < x ≤ 3

and so on.