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

Population (In thousands), y: 489, 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 interpolate using the given data points for 1970 and 1980.

Using the formula for linear interpolation:

Population for 1975 = Population for 1970 + [(Population for 1980 - Population for 1970) * ((number of years since 1970) / 10)]

Population for 1975 = 489 + [(801 - 489) * ((5) / 10)]

Population for 1975 = 489 + [(312) * (0.5)]

Population for 1975 = 489 + 156

Population for 1975 = 645 thousand people

Therefore, the closest option is D. 650 thousand people.