Question

The horizontal axis ranges from 0 to 4 in increments of 0.5, and the vertical axis ranges from 0 to 800 in
increments of 200. A curved, increasing line is drawn on the graph. Four points are marked along the line with
their coordinates labeled as (0,20), (1,60), (2,180), and (3,540). The background is a grid of evenly spaced lines,
and the axes are marked with numerical values.

Which of the following situations could describe the graph?

(1 point)

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.

Niall rents a bike for $20 per hour.

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

Answer 1

Juveldy's situation.

Reason: the points show a value of 20 at time 0 and each unit time it triples (20, 60, 180, 540), which matches 20·3^t. The other options give different starting amounts or growth factors.