The most accurate statement regarding the key feature of the graph for Lori's goldfish situation is:
The points on the graph will have a common ratio of 1.32.
This is because the goldfish are reproducing at a rate of 32% each month, which means that each month, the number of fish will increase by a factor of \(1 + 0.32 = 1.32\). Therefore, if you start with 5 fish, the number of fish can be modeled by multiplying by 1.32 each month.
To clarify the other options:
- The points on the graph will not have a common ratio of 32, as the reproduction rate needs to be expressed as a growth factor rather than a percentage.
- The statement about starting with (1,5) is incorrect; it should be (0,5) if representing the starting month as zero.
- The graph will not have a constant rate of change; instead, it will have an exponential growth pattern due to the percentage increase in the population each month.