To understand the reproduction of Lori's goldfish, we need to analyze the rate of reproduction. A 32 percent increase each month means that the population of fish will grow by a factor of 1.32 (100% + 32% = 132%, or 1.32 in decimal form).
Given this, let's evaluate the provided statements:
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The points on the graph will have a common ratio of 32. - This is incorrect because a common ratio of 32 would imply that the population grows by a factor of 32 each month, which is not the case.
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The graph will begin with the point (1,5) because Lori starts with five fish. - This statement is incorrect; it should start with the point (0,5) because at month 0 (the starting point), she has 5 fish.
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The graph will have a constant rate of change. - This statement is incorrect; since the fish population increases by a percentage, the growth is exponential, not linear. Therefore, there isn’t a constant rate of change.
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The points on the graph will have a common ratio of 1.32. - This statement is correct. Since the fish reproduce at a rate of 32% each month, the population will increase by a factor of 1.32 each month.
Based on the analysis, the correct statement that discusses a key feature of the graph of this situation is:
The points on the graph will have a common ratio of 1.32.