Question

1. over the years 1950 - 2020, the total world population can be modeled by a linear function. selected values for the total world population p, in billions, are given in the table above, where t represents the number of years since 1950.

a) use the regression capabilities on your calculator to find a linear model of the form y = a + bx for the world population (in billions) x years since 1950.
b) according to the model found in part a, what was the world population in 1979, the year mr. passwater was born?

Explanation:

Step1: Determine the value of \(x\) for 1979

Since \(x\) represents the number of years since 1950, for 1979, \(x = 1979 - 1950=29\).

Step2: Substitute \(x = 29\) into the linear model \(y=a + bx\)

The linear model is \(y = 2.5+0.06x\). Substitute \(x = 29\) into the equation:

$$
LATEXBLOCK0
$$

Answer:

The world population in 1979 was approximately \(4.24\) billion.