Question

Help!!! Please.. 50 points and brainliest.
Select the correct answer.
Fifteen acres of a 1,000-acre wetland are covered by purple loosestrife, an invasive marsh plant. The area covered by the plant is predicted to double every year. Based on this prediction, in how many years will purple loosestrife cover 480 acres of the wetland?

A.
4 years
B.
5 years
C.
8 years
D.
7 years

Answer 1

Answer:

B 5 years is the answer hope it helps please give brainliest

Answer 2

The number of the years, purple loosestrife cover 480 acres of the wetland will be 5. Then the correct option is B.

What is an exponent?

Exponential notation is the form of mathematical shorthand which allows us to write complicated expressions more succinctly. An exponent is a number or letter is called the base. It indicates that the base is to raise to a certain power. X is the base and n is the power.

Fifteen acres of a 1,000-acre wetland are covered by purple loosestrife, an invasive marsh plant.

The area covered by the plant is predicted to double every year.

Based on this prediction, the number of the years, purple loosestrife cover 480 acres of the wetland will be

$480 = 15 \times 2^t\\\\32 \ = 2^t$

Taking log both sides, then we have

$\begin{aligned} \ln 32 &= t \ln 2\\\\ t &= \dfrac{\ln 32}{\ln 2} \\\\t &= 5 \end{aligned}$

More about the exponent link is given below.

https://brainly.com/question/5497425

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