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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.

Respuesta :

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.

MrRoyal

The function is an illustration of an exponential function

The true statements about the function are:

  1. (b) The function f(x) = 9,000(0.95)x represents the situation.
  2. (c) After 2 years, the farmer can estimate that there will be about 8,120 bees remaining.
  3. (e) The domain values, in the context of the situation, are limited to whole numbers.
  4. (f) The range values, in the context of the situation, are limited to whole numbers.

From the question, we have:

Initial number of bees = 9000

Rate of decay = 5%

So, the function that represents the bee production is:

f(x) = 9000 * (1 - 5%)^x

This gives

f(x) = 9000 * (0.95)^x

At 2 years, we have:

f(2) = 9000 * (0.95)^2

f(2) = 8122.5

At 4 years, we have:

f(4) = 9000 * (0.95)^4

f(4) = 7330.55

So, the true statements are: options (b), (c), (e) and (f)

Read more about exponential functions at

https://brainly.com/question/11464095

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