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in a certain area of Brazil, deforestation is currently the most critical Socio economic problem. The area of a certain rain forest is currently 1156.25 square miles. after every year, the area of this rain force decreases by 2% which of the following statements is correct
A- deforestation problem is an example of exponential growth
B- The growth or decay rate for the area of the rainforest is 0.2
C- The function of equals 1156.25(1 -0.02 )^t
D- in less than a century the rain forest will be completely wiped out
E- in about 35 years the area of the rain forest will be cut by more than half
F-The domain of the function that model the deforestation problem above is 0<_t<_100 (less than or equal to <_)

Respuesta :

i need help with this answer!!!!!

A is INCORRECT because here we have degrowth and growth

B is INCORRECT because the decay factor is 2% or 0.02 , not 0.2

C is CORRECT, the function is which is used to calculated the area of rainforest at time t is given by 1156.25(1 -0.02 )^t

D is INCORRECT, if we plug in t=100 in the above equation , we get = 1156*(1-0.02)^100 = 153 square miles of forest. So it will not be wiped out

E is CORRECT, if we plug in t =35, we get = 1156*(1-0.02)^35 = 570 square miles. So more than half will be cut in 35 years

F is INCORRECT becuase domain goes beyond 100 years as shown by option D


So, correct options are C and E

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