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1) drop down options - Forest A or B2. Drop down options - Forest A or B 4. drop down options- forest A or B

1) drop down options - Forest A or B2. Drop down options - Forest A or B 4. drop down-example-1

1 Answer

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Answer:

1. Forest B

2. Forest A

3. 19

4. Forest B

5. 17.34

Step-by-step explanation:

The exponential function has the form

f(t) = a(1 + r)^t

Where a is the initial value and r is the growth rate.

The equation for each forest can be written as

A(t) = 107(1.015)^t

A(t) = 107(1 + 0.015)^t

B(t) = 88(1.025)^t

B(t) = 88(1 + 0.025)^t

Therefore, for each forest, we get:

Forest A

The initial number of trees: 107

Growth rate: 0.015 = 1.5%

Forest B

Initial number of trees: 88

Growth rate: 0.025 = 2.5%

Since 2.5% is greater than 1.5%, Forest B has a faster rate

Since 107 is greater than 88, Forest A has a greater number of trees initially

The difference between the initial amount of three is equal to 19 because

107 - 88 = 19

To know the number of trees in each forest after 30 years, we need to replace t = 30 on each equation, so

A(t) = 107(1.015)^30

A(t) = 167.25

B(t) = 88(1.025)^30

B(t) = 184.59

Therefore, forest B will have more trees after 30 years and the difference between the number of trees will be

184.59 - 167.25 = 17.34

So, the answers are:

1. Forest B

2. Forest A

3. 19

4. Forest B

5. 17.34

User Dsh
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