While growing vegetables in your backyard, you noticed a particular kind of insect eating your plants. You took a rough count (see data below) of the insect population over time. Which graph shows the best representation of your data?

Question

time (days) 2, 4, 8, 10 insect population (number) 7, 16, 60, 123





(1 point)
Responses

Graph B
Graph B

Graph A
Graph A

Graph C
Graph C

Graph D

Answer 1

To determine the best representation of your data, we can analyze the insect population values over time:

• At day 2, the population is 7.
• At day 4, the population is 16.
• At day 8, the population is 60.
• At day 10, the population is 123.

From this data, we can observe that the insect population is not increasing linearly; instead, it appears to be growing at a faster rate as time progresses, indicating an exponential growth pattern.

Based on this information, you should look for a graph that reflects an accelerating growth trend, likely showing a curve that steepens as time goes on.

Without the actual graphs to look at, I can't definitively say which graph (A, B, C, or D) is the best representation. However, choose the graph that shows a curve that rises rapidly, especially from day 8 to day 10, as that would best represent the exponential growth in your data.

If you have more specific details about the graphs, let me know, and I can help you analyze them further!