Middle School

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Please help.

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

Answer :

Answer:

the answer is c 125.3

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Rewritten by : Barada

Answer:

Step-by-step explanation:

Alright, lets get started.

Using the formula for exponential growth,

[tex]y=a(1+r)^x[/tex]

r is given s 1.5 times means the growth rate is 50% growth means r = 0.5

[tex]y=11(1+0.5)^6[/tex]

[tex]y=11*1.5^6[/tex]

[tex]y=11*11.390625[/tex]

[tex]y=125.296875[/tex]

[tex]y=125.30[/tex]

So, the area moss will cover is 125.30 square cm : Answer

Hope it will help :)