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)
Responses

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.

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.

Niall rents a bike for $20 per hour.

Answer 1

Based on the description of the graph you provided—a concave-up, increasing curve—the most suitable situation that could describe the graph is:

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

This scenario suggests exponential growth, which aligns with the increasing and concave-up nature of the curve. The investment scenarios in the first option and the third option, although also indicating exponential growth, do not match the same rapid growth indicated by tripling populations. The last option, regarding Niall renting a bike, does not describe a situation that would be represented by an increasing curve; rather, it would likely be linear.