High School

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Paul is gathering data about moss growth in a local forest. He measured an area of 11 square centimeters on one particular tree and will come back in 6 months to measure the growth of the moss. If the area covered by moss multiplies by one and a half times each month, approximately how much area will the moss cover when Paul returns?

A. 125.3 cm\(^2\)
B. 16.5 cm\(^2\)
C. 99.1 cm\(^2\)
D. 14.7 cm\(^2\)

Answer :

Using the exponential growth formula A = P(1+r)^t

P is the starting value ( 11 square cm)

r is the rate ( 1.5 means a 50% growth, so rate would be 0.50)

t is the amount of time ( 6 months)


Now you have:

A = 11(1+0.5)^6

A = 11(1.5)^6

A = 125.3 cm^2


The answer is A.

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Rewritten by : Barada

Answer:

125.3

Step-by-step explanation: