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20 votes
20 votes
The function f(x)=58(1.6)x represents the possible bird population in a park x years from now. Each year, the expected number of birds is ____the number the year before.

User Tzinie
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2 Answers

17 votes
17 votes

Answer: 1.6

Explanation:

User Monise
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9 votes
9 votes

Answer:

1.6 times or 60% more than

Explanation:

The question seems to be asking about the growth factor in the given exponential function.

Exponential function

A generic exponential function will have the form ...

quantity = (initial value) × (growth factor)^(number of intervals)

Comparing this form to the given formula ...

f(x) = 58 × 1.6^x

we see the "growth factor" is 1.6. This is the multiplier from one interval (year) to the next.

Each year the expected number of birds is 1.6 times the number the year before.

__

Additional comment

A growth factor is sometimes expressed in terms of a growth rate, usually a percentage.

growth factor = 1 + growth rate

1.6 = 1 + 0.60 = 1 + 60%

The growth rate of this bird population is 60% per year. Each year, the population is 60% more than the year before.

User Ernest Okot
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