Question

Create a linear model of the population from 1910 to 1990 with projected data points every 10 years, starting with 1900 as year 0. Include a table and equation.

Answer 1

To create a linear model of population growth from 1910 to 1990 with projected data every 10 years, we can use the concept of exponential growth. The population doubles every 10 years starting from an initial population of 100 in 1900. The equation for the population at time t is P(t) = 100 * 2^(t/10).

Step-by-step explanation:

To create a linear model of population from 1910 to 1990 with projected data points every 10 years, starting with 1900 as year 0, we can use the concept of exponential growth. Given that the population doubles every 10 years, we can use the formula for exponential growth: P(t) = P0 * 2^(t/10), where P(t) represents the population at time t, P0 is the initial population at time 0, and t is the number of years. Let's create a table and equation based on this:

Table:

YearPopulation190010019102001920400193080019401,60019503,20019606,400197012,800198025,600199051,200

Equation: P(t) = 100 * 2^(t/10)