Question

A certain forest covers an area of 2,000 square kilometers. Suppose that each year this area decreases by 6%. What is the equation that best represents the area of the forest each year?

Options:
A. y = 2,000(0.94)^x
B. y = 2,000(1.06)^x
C. y = 2,000(0.06)^x
D. y = 2,000(1.94)^x

Answer 1

The equation that best represents the area of the forest each year is y = 2,000(0.94)^x.

Step-by-step explanation:

The equation that best represents the area of the forest each year is option A: y = 2,000(0.94)^x.

Since the area decreases by 6% each year, we can represent this as a decay function. The starting area of the forest is 2,000 square kilometers. The decay factor is 0.94 (100% - 6% = 94%). The variable 'x' represents the number of years. By substituting different values of 'x' into the equation, we can calculate the area of the forest after a certain number of years.