Use the table to answer the question.

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 answer

To complete the chart, we can substitute each value of x into the equation f(x) = 350(1.22)^x:

0 350
1 350(1.22)^1 = 427
2 350(1.22)^2 ≈ 521.94
3 350(1.22)^3 ≈ 635.96
4 350(1.22)^4 ≈ 776.43
5 350(1.22)^5 ≈ 948.94

We can plot these points on a graph to determine which graph correctly displays the situation.