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

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.

Answer 1

The correct statement is:

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

This is because with a reproduction rate of 32 percent, the number of goldfish increases by a factor of \(1 + 0.32 = 1.32\) each month. This indicates that the growth is exponential, not linear, and thus the points on the graph will not have a constant rate of change.