The population growth of a city since 1900 is represented by a linear model. Interpret the slope and the y-intercept. Estimate the slope to the nearest hundredth.
1. For every year since 1900, the population grew 0.03 thousand.
2. For every year since 1900, the population grew 0.63 thousand. In 1900, the population was 20 thousand.
3. For every 0.63 of a year since 1900, the population grew 1,000. In 1900, the population was 20 thousand.
4. For every year since 1900, the population grew 1.59 thousand. in 1900, the population was 20 thousand.
1. The slope of the linear model is 0.03, which means that for every year since 1900, the population of the city grew by 0.03 thousand or 30 people. The y-intercept is not given, so we do not know the initial population in 1900.
2. The slope of the linear model is 0.63, which means that for every year since 1900, the population of the city grew by 0.63 thousand or 630 people. The y-intercept is 20 thousand, which means that in 1900, the population of the city was 20 thousand.
3. The slope of the linear model is 1,000/0.63 or approximately 1587.3, which means that for every 0.63 of a year since 1900, the population of the city grew by 1,000 or 1,000/0.63 or approximately 1587.3 people. The y-intercept is 20 thousand, which means that in 1900, the population of the city was 20 thousand.
4. The slope of the linear model is 1.59, which means that for every year since 1900, the population of the city grew by 1.59 thousand or 1,590 people. The y-intercept is 20 thousand, which means that in 1900, the population of the city was 20 thousand.
Estimating the slope of the fourth linear model to the nearest hundredth, we get 1.59.