Question

the canadian census agency predicted that the population of quebec would be about 16.1 million in 2010 and increase by 3.9 million per year until 2030. in this situation, what is the value of the slope (in millions)? show your work here m = 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).

Explanation:

Step1: Recall slope - concept

The slope in a linear - growth situation represents the rate of change.

Step2: Identify the rate of change for Quebec

The population of Quebec increases by 3.9 million per year. This rate of change is the slope.

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 and y - intercept for Alberta

The population in 2010 (when $x = 0$) is 27 million, so $b = 27$. The population increases by 5.7 million per year, so $m=5.7$.

Step3: Write the equation

Substitute $m = 5.7$ and $b = 27$ into $y=mx + b$. The equation is $y = 5.7x+27$.

Answer:

$m = 3.9$

For the second part: