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

2 3 6 should be the answer hope this helps

Answer 2

Answer:

Given scenario is :

A farmer estimates that he has 9,000 bees producing honey on his farm.

Population of bees is decreasing steadily at a rate of 5% per year.

The correct statements are:

1. The function f(x) = $9000(1.05)^x$ represents the situation. This is wrong. The exponent is decreasing so it will not be 1.05.

2. The function f(x) = $9000(0.95)^x$ represents the situation. This is correct.

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

Lets check by putting x = 2

f(2)=$9000(0.95)^2$ = 8122.5 near to 8120.

4. After 4 years, the farmer can estimate that there will be about 1,800 bees remaining. This is wrong.

Lets check by putting x = 4

f(4)=$9000(0.95)^4$ = 7330.5

5. The domain values, in the context of the situation, are limited to whole numbers. This is wrong. The domain values can be non negative real values also.

6. The range values, in the context of the situation, are limited to whole numbers. This is correct. The bees can be counted as whole and cannot be expressed in fractions or decimals.