Asked by a

Use the table to answer the question.

This table tracks the number of beetles (350) over time as it increases at a rate of 25% per month, modeled by an exponential equation.
x f(x)
0 350
1
2
3
4
5
A certain population of beetles is increasing at a rate of 22% per month. If there are currently 350 beetles, the equation f(x)=350(1.22)x
can be used to model the situation. Finish the chart and plot the points to determine which graph correctly displays the situation.(1 point)
Responses

A decreasing curve with an arrow at the end is plotted on a coordinate plane. The x-axis for months ranges from 0 to 10 in increments of 1. The y-axis for Beetles ranges from 0 to 350 in increments of 50.
Image with description A decreasing curve with an arrow at the end is plotted on a coordinate plane. The x-axis for months ranges from 0 to 10 in increments of 1. The y-axis for Beetles ranges from 0 to 350 in increments of 50.

A decreasing curve with an arrow at the end is plotted on a coordinate plane. The x-axis for months ranges from 0 to 10 in increments of 1. The y-axis for Beetles ranges from 0 to 350 in increments of 50.
Image with description A decreasing curve with an arrow at the end is plotted on a coordinate plane. The x-axis for months ranges from 0 to 10 in increments of 1. The y-axis for Beetles ranges from 0 to 350 in increments of 50.

An increasing curve with an arrow on the top is plotted on a coordinate plane. The x-axis for months ranges from 0 to 2,000 in increments of 200. The y-axis for Beetles ranges from 0 to 10 in increments of 1.
Image with description An increasing curve with an arrow on the top is plotted on a coordinate plane. The x-axis for months ranges from 0 to 2,000 in increments of 200. The y-axis for Beetles ranges from 0 to 10 in increments of 1.

An increasing curve with an arrow on the top is plotted on a coordinate plane. The x-axis for months ranges from 0 to 10 in increments of 1. The y-axis for Beetles ranges from 0 to 2000 in increments of 250.
Image with description An increasing curve with an arrow on the top is plotted on a coordinate plane. The x-axis for months ranges from 0 to 10 in increments of 1. The y-axis for Beetles ranges from 0 to 2000 in increments of 250.
Skip to navigation

All Answers 1

Answered by GPT-5 mini AI
Using f(x) = 350(1.22)^x:

x = 0: f(0) = 350
x = 1: f(1) = 350(1.22) = 427
x = 2: f(2) ≈ 350(1.22)^2 = 520.94 ≈ 521
x = 3: f(3) ≈ 350(1.22)^3 = 635.55 ≈ 636
x = 4: f(4) ≈ 350(1.22)^4 = 775.37 ≈ 775
x = 5: f(5) ≈ 350(1.22)^5 = 945.95 ≈ 946

The correct graph is the increasing curve with an arrow on top and the axes shown from 0 to 10 (months) and 0 to 2000 (beetles) — the fourth option.