plz help me on thisI will make it Brainliest if you get it right 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.
Accepted Solution
A:
When you multiply a positive number by 0.95, the product is smaller than the number. The function is
f(x) = 9000(0.95)^x
Choice A is false. Choice B is true.
At 2 years, x = 2 f(x) = 9000(0.95)^x f(2) = 9000(0.95)^2 = 8122.5
Choice C is true.
At 4 years, x = 4. f(4) = 9000(0.95)^4 = 7331
Choice D is false.
The domain values, in the context of the situation, are limited to whole numbers. You can calculate what the bee population will be after 5.5 years. The domain can include numbers that are not whole numbers.
Choice E is false.
The range values, in the context of the situation, are limited to whole numbers. The range is the number of bees alive. That has to be a whole number since you can't have a fraction of a bee alive.