12
AssignmentMultiple Select

Linear vs. Nonlinear Functions

Question 12 • GA-Algebra: Concepts and Connections A

Which situations represent linear functions? Check all that apply.

Answer
A
The temperature rises and falls over the course of a day. Temperature is a function of time.
B
A baseball is hit into the outfield. The height of the ball is a function of time.
C
A car goes 55 mph on the highway. Distance is a function of time.
D
A child grew 2 inches this year and 1 inch last year. Height is a function of time.
E
A movie director makes 2 movies per year. The number of movies is a function of the years.

Explanation

A linear function changes at a constant rate. At 55 miles per hour, the car’s distance increases by 55 miles each hour, so distance is a linear function of time. Making 2 movies per year also gives a constant rate, so the number of movies is linear in years. The other situations do not describe a constant rate of change.

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