Question

A farmer estimates that he has 9,000 bees producing honey on his farm. The farmer becomes concerned when he realizes the population of bees seems to be decreasing steadily at a rate of 5% per year. If the number of bees in the population after x years is represented by f(x), which statements about the situation are true? Check all that apply. The function f(x) = 9,000(1.05)x represents the situation. The function f(x) = 9,000(0.95)x represents the situation. After 2 years, the farmer can estimate that there will be about 8,120 bees remaining. After 4 years, the farmer can estimate that there will be about 1,800 bees remaining. The domain values, in the context of the situation, are limited to whole numbers. The range values, in the context of the situation, are limited to whole numbers.

Answer 1

Answer:

Step-by-step explanation:

The function f(x) = 9,000(0.95)x represents the situation.

After 2 years, the farmer can estimate that there will be about 8,120 bees remaining.

The range values, in the context of the situation, are limited to whole numbers.

Answer 2

The answer to this question would be:
The function f(x) = 9,000(0.95)x represents the situation.
After 2 years, the farmer can estimate that there will be about 8,120 bees remaining.

In this problem, there are 9,000 bees and the amount is decreased 5% each year. Decreased 5% would be same as become (100%-5%=)95% each year. Then the function should be like:
f(x)= 9,000 * 95%^ x= 9,000 * 0.95^x

If you put X=2 and X=4 the result would be: 
f(2) = 9,000* (0.95)^2= 8122.5 (round up to tenth will be 8120)
f(4) = 9,000* (0.95)^4= 7330.5