A certain region is losing about 12 million acres of rain forest each year.
A. Find a linear function f that calculates the change in acres of rain forest in millions in x years.
B. Find f(8) and interpret the results
A. To find a linear function f that calculates the change in acres of rainforest in millions in x years, we need to find the rate at which the rainforest is being lost each year. We know that the region is losing about 12 million acres of rainforest each year. So, for every year, the change in acres lost is constant at 12 million.
Let's denote the change in acres of rainforest in millions as y and the number of years as x. The linear function f(x) can be expressed as:
f(x) = 12x
Where x represents the number of years, and f(x) represents the change in acres of rainforest in millions.
B. To find f(8), we can substitute x = 8 into the linear function:
f(8) = 12(8)
f(8) = 96
Interpretation: f(8) means calculating the change in acres of rainforest in millions after 8 years. By substituting x = 8 into the equation, we find that the region would lose 96 million acres of rainforest within 8 years.