Use the image to answer the question.

Question

A concave-up, increasing curve is plotted on a coordinate plane. The x-axis ranges from 0 to 4 in increments of 0.1 but labeled at 0.5 intervals. The y-axis ranges from 0 to 800 in increments of 50 but labeled at intervals of 200. The curve passes through 4 marked and labeled points.

Which of the following situations could describe the graph?

(1 point)
Choose One Of The Following Responses

Sienna buys a vintage record for $20. Its value appreciates by 20 percent each year.
Sienna buys a vintage record for $20. Its value appreciates by 20 percent each year.

Juveldy puts $20 in a high-yield savings account. His investment triples every year.
Juveldy puts $20 in a high-yield savings account. His investment triples every year.

There are 200 cockroaches in a building, and the population triples every day.
There are 200 cockroaches in a building, and the population triples every day.

Niall rents a bike for $20 per hour.

Answer 1

Based on the description of the curve being concave-up and increasing, it signifies exponential growth. Among the options provided, the following situation describes this type of growth:

There are 200 cockroaches in a building, and the population triples every day.

This scenario illustrates exponential growth, where the population increases significantly over time, which aligns with the characteristics of the graph you described. The other options, while involving increases in value or amount, do not showcase the same level of exponential growth depicted in the graph.