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Answer :
We start with an initial area of moss of [tex]$11 \, \text{cm}^2$[/tex] on the tree. The moss grows by multiplying its area by [tex]$1.5$[/tex] each month. After [tex]$6$[/tex] months, the final area [tex]$A$[/tex] can be found by:
[tex]$$
A = 11 \times (1.5)^6
$$[/tex]
Calculating [tex]$(1.5)^6$[/tex] gives approximately [tex]$11.390625$[/tex], so:
[tex]$$
A \approx 11 \times 11.390625 \approx 125.3 \, \text{cm}^2.
$$[/tex]
Thus, the approximate area of moss after [tex]$6$[/tex] months is [tex]$125.3 \, \text{cm}^2$[/tex], which corresponds to answer choice D.
[tex]$$
A = 11 \times (1.5)^6
$$[/tex]
Calculating [tex]$(1.5)^6$[/tex] gives approximately [tex]$11.390625$[/tex], so:
[tex]$$
A \approx 11 \times 11.390625 \approx 125.3 \, \text{cm}^2.
$$[/tex]
Thus, the approximate area of moss after [tex]$6$[/tex] months is [tex]$125.3 \, \text{cm}^2$[/tex], which corresponds to answer choice D.
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