To determine which town(s) demonstrate exponential growth, we can analyze the trends of the population curves in each of the towns on the coordinate plane.
Exponential growth is characterized by a curve that rises sharply as time progresses, indicating that as time goes on, the population increases at an accelerating rate.
- If Town A's and Town B's functions show a consistent curve that slopes upward but at a linear rate, they are likely experiencing linear growth rather than exponential growth.
- If Town D’s curve sharply increases over time, suggesting that its rate of population growth accelerates as years progress, then it conceivably demonstrates exponential growth.
Given these interpretations:
- If only Town D exhibits the steep, accelerating growth pattern, the correct answer would be "only Town D."
- If Town A also displays a strong upward curve that meets exponential growth criteria alongside Town D, then the answer could be "both Town A and Town D."
Based on your question, if the curves were distinct enough to classify only Town D as showing exponential growth without any comparable rise in Town A or Town B, then the answer would be “only Town D.”
For a definitive answer, a visual assessment of the population growth of each town would be necessary, but your best options from the choices provided suggest verifying the steepness of the populations' increase.
1 answer