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Sergeeva-Olga [200]
3 years ago
8

Please help me im so lost​

Mathematics
1 answer:
Zepler [3.9K]3 years ago
5 0

Answer:

<em>5x + 1</em>

Step-by-step explanation:

f(x) = 3x + 2

g(x) = - 2x + 1

<em>f(x) - g(x)</em> = 3x + 2 - ( - 2x + 1 ) = 3x + 2 + 2x - 1 = <em>5x + 1</em>

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Using an exponential function, it is found that it will take 24 years for the current population of 4800 deer to reduce to 600.

<h3>What is an exponential function?</h3>

An exponential function is modeled by:

y = ab^x

In which:

  • a is the initial value.
  • b is the rate of change, as a decimal.

In this problem, considering the initial value of 4800, and that the population halves every 8 years, the equation is given by:

A(t) = 4800\left(\frac{1}{2}\right)^{\frac{t}{8}}

The population will be of 600 when A(t) = 600, hence:

A(t) = 4800\left(\frac{1}{2}\right)^{\frac{t}{8}}

600 = 4800\left(\frac{1}{2}\right)^{\frac{t}{8}}

\left(\frac{1}{2}\right)^{\frac{t}{8}} = \frac{600}{4800}

\left(\frac{1}{2}\right)^{\frac{t}{8}} = \frac{1}{8}

\left(\frac{1}{2}\right)^{\frac{t}{8}} = \left(\frac{1}{2}\right)^3

Hence:

t/8 = 3.

t = 24.

It will take 24 years for the current population of 4800 deer to reduce to 600.

More can be learned about exponential functions at brainly.com/question/25537936

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