A coordinate plane displays 4 graphed functions labeled Town upper A, Town upper B, Town upper C, and Town upper D. The x-axis, titled Years, ranges from 0 to 100 in increments of 10. The y-axis, titled Population, ranges from 0 to 1000 in increments of 200.

Question

The population of which town(s) demonstrates exponential growth?

(1 point)
Responses

only Town A
only Town A

both Town A and Town B
both Town A and Town B

both Town A and Town D
both Town A and Town D

only Town D

Answer 1

To determine which town(s) demonstrate exponential growth, we need to look for a characteristic pattern in their population growth over time.

Exponential growth is typically indicated by a curve that becomes steeper as time progresses, meaning that the population increases faster as it grows (the rate of growth itself increases). On a graph, this would look like a smooth curve that rises steadily, rather than a straight line (which would indicate linear growth).

Given the options you've provided and based on the question, it sounds like Town A and Town D might exhibit this characteristic. However, without the actual graph or more specific information about the population data for each town, I can't definitively state which towns demonstrate exponential growth.

If Town A shows a curve that starts to steepen over time, then it likely exhibits exponential growth. The same goes for Town D.

Among the options provided, if either Town A or Town D has an exponential growth pattern, then the correct answer would be:

• only Town D
• only Town A
• both Town A and Town D

Without more specific data or a visual representation of the graphs, I can't conclusively give you an answer, but reviewing the graphs you mentioned should help clarify which towns experience exponential growth.