PLEASE HELP NOW WILL MARK BRAINLEST FOR CORRECT ANSWER A Brazilian town near the Amazon River has experienced 7% annual decrease in size of rainforest as trees are cut down and forest is converted to farmland. In the year 2009, there were about 28,000 acres of rainforest in town. a. Write an exponential model that relates the number of acres of rainforest y as a function of t years since 2009. b. How many acres of rainforest remained in 2013 (that is, in year 4)? Show work.

a. y = 28,000×(1 - 0.07)^t

b. 20,945.46 acres

Step-by-step explanation:

a. The annual percentage decrease in in size of rainforest = 7%

The size of the rainforest in 2009 = 28,000 acres

The exponential decay formula is y = C×(1 - r)^t

Where:

y = Final Amount

C = Initial amount = 28,000 acres

r = Rate of Change = 0.07

t = Time

Which gives;

y = 28,000×(1 - 0.07)^t

b. In 2013 (year 4, t = 4), the amount of rainforest remaining is therefore;

y = 28,000×(1 - 0.07)^(4) = 28,000×0.93^4 = 20,945.46 acres

The size of the rainforest that remained in 2013 is 20,945.46 acres.

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step-by-step explanation: