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

In this situation, Lori's goldfish reproduce at a rate of 32 percent each month. This means that each month, the population of goldfish increases by 32 percent of the current population.

  1. A common ratio of 1.32 indicates that for every month, the population increases by a factor of 1.32 (which represents the original population plus the 32% increase).
  2. The points on the graph will not have a common ratio of 32; rather, they will have exponential growth due to the percentage increase.
  3. The graph will not have a constant rate of change since the rate of growth depends on the current number of fish.
  4. The point (1, 5) does not accurately reflect the situation, as it would indicate the first month has 5 fish but does not consider the exponential growth.

Thus, the most accurate statement about the situation is:

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