Linear Equations in Real-World Scenarios Practice

Question

Complete this assessment to review what you've learned. It will not count toward your grade.
1 of 51 of 5 Items
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

The linear equation can be completed as:

200 - 15n = 150 - 5n

To solve the equation, we can start by simplifying it:

200 - 150 = -5n + 15n

50 = 10n

Dividing both sides by 10:

50/10 = n

n = 5

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