Question

Write whether the scenario represents a linear function or an exponential function? Explain why.

A water tank is filled at a rate of 2 gallons per minute.
A vine grows 6 inches every week.
A species of fly doubles its population every month during the summer.
A car increases its distance from a garage as it travels at a constant speed of 25 miles per hour.
The value of a popular painting has been increasing by 12% each year for the past 10 years.

Answer 1

The scenario represents a linear function. The rate is at a constant increase therefore it is linear.

Linear because it’s a constant rate

Since it’s doubled, and doesn’t go at a constant rate, it is a exponential function

Exponential since it increases by a multiplicative rate. It’s not constant