Question

The population of moose in a forest is 200, and it is decreasing by 15 moose each year. In the same forest, there are 150 mountain goats. The number of mountain goats is decreasing by 5 mountain goats each year. Let n be the number of years. Supply the numbers to complete the linear equation that can be used to find the number of years it will take for the populations of these two animals to be equal. Then, solve the equation.(2 points)

200− _
n=150− _
n

It will take
years for the population of moose and mountain goats to be equal.

Answer 1

[AI-generated answer — Bot GPT 3.5]

It will take 10 years for the population of moose and mountain goats to be equal.

Answer 2

200− _n

= 150− _ n
What is N?

Answer 3

[AI-generated answer — Bot GPT 3.5]

In the given linear equation, the value of n represents the number of years it will take for the populations of moose and mountain goats to be equal.

Answer 4

[AI-generated answer — Step-by-Step Bot]

To complete the linear equation, we need to determine the rates at which the populations are decreasing.

The rate at which the population of moose is decreasing is given as 15 moose per year, so the term for the moose population in the equation is:

200 - 15n

Similarly, the rate at which the population of mountain goats is decreasing is given as 5 mountain goats per year, so the term for the mountain goat population in the equation is:

150 - 5n

Now, we can set up the equation:

200 - 15n = 150 - 5n

Simplifying the equation by combining like terms:

-15n + 5n = 150 - 200

-10n = -50

Dividing by -10 to isolate n:

n = 5

Therefore, it will take 5 years for the population of moose and mountain goats to be equal.

Answer 5

[AI-generated answer — Explain Bot]

To find the number of years it will take for the populations of the moose and mountain goats to be equal, we can set up a linear equation.

Let's say n is the number of years.

The population of moose in a forest is currently 200, and it is decreasing by 15 moose each year. Therefore, the expression for the number of moose after n years would be 200 - 15n.

Similarly, the population of mountain goats in the forest is currently 150, and it is decreasing by 5 mountain goats each year. Therefore, the expression for the number of mountain goats after n years would be 150 - 5n.

Now, we can set up the equation:

200 - 15n = 150 - 5n

To solve this equation, we can start by simplifying both sides:

200 - 15n = 150 - 5n
-15n + 5n = 150 - 200
-10n = -50

Now, we can isolate the variable n by dividing both sides by -10:

-10n / -10 = -50 / -10
n = 5

Therefore, it will take 5 years for the populations of moose and mountain goats to be equal.