Question

Select the correct answer. The drama club has records of the length of the annual school plays for the last 10 years. The length of the annual school play was 80 minutes initially. They then decided to increase the length of the play by 5 minutes every year for the next 4 years. For the next 3 years, the length of the annual school play was constant. For the last 3 years, the length of the annual school play was reduced by 10 minutes every year. Which graph models the piecewise function for the given situation? A. B. C. D.

Answer 1

The correct graph that models the piecewise function for the given situation is Option A.

Step-by-step explanation:

The graph that models the piecewise function for the given situation is Option A.

To determine the length of the annual school plays for the last 10 years, we will break down the given situation into different time periods:

1. Initial period: Length of play = 80 minutes (year 1)
2. Increasing period: Length of play = previous year's length + 5 (years 2-5)
3. Constant period: Length of play remains the same (years 6-8)
4. Reduction period: Length of play = previous year's length - 10 (years 9-10)

Based on this breakdown, Option A correctly represents the length of the annual school plays over the 10-year period.