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Juliette [100K]
3 years ago
8

The function f(x) = 467(5)x represents the growth of a ladybug population every year in a wooded area. Adrianne wants to manipul

ate the formula to an equivalent form that calculates every 3 months, not every year. Which function is correct for Adrianne's purposes?
Mathematics
2 answers:
DanielleElmas [232]3 years ago
7 0

Answer:

The function is f(x)=467((5)^{\frac{1}{4}})^{4x}

Step-by-step explanation:

We are given that,

The function representing the growth of ladybug population every year is,

f(x)=467(5)^x, where x= number of years.

Adrianne wants to calculate the population after every 3 months.

Since, 12 months = 1 year

i.e. 1 month = \frac{1}{12} years

i.e. 3 month = \frac{3}{12}=\frac{1}{4} years.

Then the new function showing the population after every 3 months will be,

f(x)=467(5)^{\frac{1}{4}\times 4x}

i.e. f(x)=467((5)^{\frac{1}{4}})^{4x}

Hence, the required function is f(x)=467((5)^{\frac{1}{4}})^{4x}

Nat2105 [25]3 years ago
4 0
F(x)=467(<span>5^<span>1/4</span></span><span>)^<span>4<span>x is the closest I can get.</span></span></span>
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