Question

the scatter plot shows the population of the state of ohio x years since 2020. which is the best interpretation of the slope and y - intercept of the line of best fit? a. in 2020, the population in ohio was 9,085 and it is now 898,446. b. in 2020, the population in ohio was 9,085 and each year it increases by 898,446. c. in 2020, the population in ohio was 898,446 and each year it increases by 9,085. d. in 2020, the population in ohio was 898,446 and each year it decreses by 9,085. a b c d

Explanation:

Step1: Recall the slope - intercept form

The equation of a line is \(y = mx + b\), where \(m\) is the slope and \(b\) is the \(y\) - intercept. In the given equation \(y=9085x + 898446\), \(x\) represents the number of years since 2020.

Step2: Interpret the \(y\) - intercept

When \(x = 0\) (the year 2020), \(y=b\). Substituting \(x = 0\) into \(y=9085x + 898446\), we get \(y = 898446\). So the population of Ohio in 2020 was 898,446.

Step3: Interpret the slope

The slope \(m = 9085\). Since \(y\) represents the population and \(x\) represents the number of years since 2020, the slope means that the population increases by 9085 each year.

Answer:

C. In 2020, the population in Ohio was 898,446 and each year it increases by 9,085.