Question

1. the u.s. bureau of labor statistics predicted that the population of florida would be about 17.4 million in 2010 and then it would increase by about 0.22 million each year until 2023. write an equation in slope intercept form that models this situation. be sure to state your variables.

Explanation:

Step1: Define variables

Let \(x\) be the number of years after 2010, and \(y\) be the population of Florida (in millions).

Step2: Identify slope and y - intercept

The initial population (in 2010) is \(b = 17.4\) (y - intercept). The rate of increase is \(m=0.22\) (slope).

Step3: Write the equation

Using the slope - intercept form \(y = mx + b\), we substitute \(m = 0.22\) and \(b = 17.4\). So the equation is \(y=0.22x + 17.4\), where \(x\) represents the number of years after 2010 and \(y\) represents the population of Florida (in millions).

Answer:

The equation is \(y = 0.22x+17.4\), with \(x\) as the number of years after 2010 and \(y\) as the population of Florida (in millions).