Question

Select ALL the correct answers.

When honeybees are introduced into a coffee plantation, the coffee yield increases according to a model where the exponential change is compounded semiannually. The coffee yield, in thousands of kilograms, t years after the introduction of the honeybees is modeled by the given expression.


Which statements are true?

Answer 1

The statements that are true are:

• 1.575 was the coffee yield , in thousands of kilograms,before the honeybees were introduced.

• 1.16 represents the growth factor that reveals the rate at which the coffee yield increases.

• 2 is the number of times the coffee yield was compounded per year.

Explanation:

We are given a function that models The coffee yield, in thousands of kilograms, t years after the introduction of the honeybees.

Also, the coffee yield increases according to a model where the exponential change is compounded semiannually .

The function is given by:

`f(t)=1.575(1.16)^(2t)`

Here when t=0, i.e. before the honeybees were introduced we have:

`f(0)=1.575`

Also, the rate of increase i.e. the growth rate is denoted by : 1.16

Also, 2 represents the number of times the coffee yield is compounded per year.