To discuss a key feature of the graph of Lori's goldfish situation, we need to consider the initial amount of goldfish and how they reproduce.
Lori starts with 5 goldfish, and they reproduce at a rate of 32% each month. This means that each month, the population of goldfish increases by 32% of the current population.
This situation can be modeled with an exponential growth function, where the population of goldfish after each month can be expressed as:
\[ P(t) = P_0 \times (1 + r)^t \]
Where:
- \( P(t) \) is the population at time \( t \),
- \( P_0 \) is the initial population (5 goldfish),
- \( r \) is the growth rate (0.32), and
- \( t \) is the time in months.
Given these considerations, the 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 population multiplies by \( 1 + r = 1 + 0.32 = 1.32 \). Therefore, the correct statement is:
The points on the graph will have a common ratio of 1.32.