Question

The management of a forestry company estimates that acres of forest available for logging will increase at a rate given by R(t) = 56/root t + 7 for 0 leq t leq 20, where​ R(t) is the rate of new acreage becoming available in thousands of acres per​ year, t years after the current year. How many acres of​ forest, Q(t), will become available for logging over the first five​ years?

A. 46 thousand acres.
B. 148 thousand acres.
C. 296 thousand acres.
D. 92 thousand acres.

Answer 1

Explanation:

If the acres of forest available for logging will increase at a rate given by

R(t) = 56/√t + 7

In order to determine the acre of forest that become available after 5 years, we will substitute t = 5 into the formula.

R(5) = 56/√5 + 7

R(5) = 56/2.236 + 7

R(5) = 25.044 + 7

R(5) = 32.044

The amount that will be available over the first five years is 32 thousand acres