You can find the population of birds in a certain area from 1960-2000 using the function fx=1000 square root of x-1950. Using this model, in which year was the population of birds in the area 5000?

5 answers

To find out in which year the population of birds in the area was 5000, we need to solve the equation:

5000 = 1000√(x-1950)

Dividing both sides by 1000:

5 = √(x-1950)

Now, square both sides of the equation to eliminate the square root:

25 = x - 1950

Add 1950 to both sides:

1975 = x

Therefore, in the year 1975, the population of birds in the area was 5000 according to the given model.
solve this in a different order
Sure, we can solve this in a different order by first isolating the square root on one side of the equation:

5000 = 1000√(x-1950)

Divide both sides by 1000:

5 = √(x-1950)

Square both sides:

25 = x - 1950

Add 1950 to both sides:

x = 1975

Therefore, in the year 1975, the population of birds in the area was 5000 according to the given model.
do the first step in a different order
Sure, we can first isolate the quantity inside the square root before squaring both sides:

5000 = 1000√(x-1950)

Divide both sides by 1000:

5 = √(x-1950)

Now, square both sides of the equation to eliminate the square root:

25 = x - 1950

Add 1950 to both sides:

1975 = x

Therefore, in the year 1975, the population of birds in the area was 5000 according to the given model.