Years Since 1970, x: 0, 10, 20, 30, 40

Population (In thousands), y: 589, 801, 1,202, 1,998, 2,959

Find the population for 1975.

A. 623 thousand people.

B. 599 thousand people

C. 513 thousand people

D. 650 thousand people

1 answer

To find the population for 1975, we can estimate using the data provided for the years 1970 and 1980.

Population in 1970: 589 thousand people
Population in 1980: 801 thousand people

We can estimate a linear relationship between the years and population:

Slope = (801 - 589) / (1980 - 1970) = 212 / 10 = 21.2

Using the formula for a line: y = mx + b, where y is the population, m is the slope, x is the year, and b is the y-intercept.

y = 21.2x + b

Substituting the values:
589 = 21.2(0) + b
b = 589

So the equation becomes:
y = 21.2x + 589

Now, to find the population for 1975 (x = 5):
y = 21.2(5) + 589
y = 106 + 589
y = 695 thousand people

Therefore, the closest option is:

D. 650 thousand people