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 reproduce at a rate of 32 percent each month, meaning that the total number of goldfish will grow based on this reproduction rate. Therefore, the growth can be modeled using an exponential growth function.

Among the given options, the statement that correctly discusses a key feature of the graph is:

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

This is because each month, the number of goldfish will increase by a factor of \(1 + 0.32 = 1.32\), which represents a growth of 32%. The graph of this function would not have a constant rate of change (as it grows exponentially), and while it does start at (1, 5) because she has five fish initially, the most accurate feature concerning the growth rate is the common ratio of 1.32.