Question

the canadian census agency predicted that the population of alberta would be about 27 million in 2010 and increase by 5.7 million per year until 2030. write an equation in slope - intercept form where x represents the number of years since 2010, and y represents the estimated total population of alberta (in millions). show your work here

Explanation:

Step1: Recall slope - intercept form

The slope - intercept form of a linear equation is $y = mx + b$, where $m$ is the slope and $b$ is the y - intercept.

Step2: Identify the slope

The population increases by 5.7 million per year. So, the slope $m = 5.7$.

Step3: Identify the y - intercept

In 2010 ($x = 0$), the population was 27 million. So, the y - intercept $b=27$.

Step4: Write the equation

Substitute $m = 5.7$ and $b = 27$ into $y=mx + b$. We get $y=5.7x + 27$.

Answer:

$y = 5.7x+27$