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3 years ago

an initial population of 700 trout increases at an annual rate of 22%. Which exponential function models the trout population?

Mathematics

1 answer:

REY [17]3 years ago

7 0

Answer:

$y=700(1.22)^{x}$

Step-by-step explanation:

Let

y-----> the trout population

x----> the time in years

we know that

$22\%=22/100=0.22$

$y=700(1+0.22)^{x}$

$y=700(1.22)^{x}$ ----->exponential function that models the trout population

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[~Answer~] (3.):

Hello there! I'm Avery, and I'm here to help you! I mostly believe the answer Could be: (the answer is in the screenshot. I couldn't write it, so I typed it.)

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[~Answer Explanation~]:

1:

Combine multiplied terms into a single fraction

Find common denominator

Combine fractions with common denominator

Multiply the numbers

Re-order terms so constants are on the left

Combine exponents

Rearrange terms

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Combine fractions with common denominator

10:

Re-order terms so constants are on the left

11:

Rearrange terms

12:

Multiply all terms by the same value to eliminate fraction denominators

13:

Cancel multiplied terms that are in the denominator

14:

Distribute

15:

Move terms to the left side

16:

Distribute

17:

Subtract the numbers

18:

Rearrange terms

19:

Use the quadratic formula

20:

Simplify

21:

Separate the equations

22:

Solve

Answer: z = $\frac{-50 + 2\sqrt{681} }{7}$

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[~Last Messages~]:

Okay, I really hope my answer is correct.