Lori buys five goldfish for her tank. Her research shows that they will reproduce at a rate of 32 percent each month. Which statement discusses a key feature of the graph of this situation?(1 point)

Question

Responses

The points on the graph will have a common ratio of 32.
The points on the graph will have a common ratio of 32.

The graph will have a constant rate of change.
The graph will have a constant rate of change.

The graph will begin with the point (1,5) because Lori starts with five fish.
The graph will begin with the point left parenthesis 1 comma 5 right parenthesis because Lori starts with five fish.

The points on the graph will have a common ratio of 1.32.

Answer 1

In this situation, Lori's goldfish are reproducing at a rate of 32 percent each month, meaning that every month, the number of goldfish increases by 32% of its current amount. This is an instance of exponential growth, not linear.

The key features of the graph related to this scenario include:

• The growth factor would be 1.32 (100% + 32% = 132%, or 1.32 when expressed as a multiplier).
• The graph would begin with the point (1, 5) since she starts with five fish.

Given these points, the most accurate statement from your options is:

The points on the graph will have a common ratio of 1.32.

This option correctly reflects the nature of the exponential growth occurring due to the reproduction rate of the goldfish.