Question

I’m very confused please explain how to answer #1 with the info provided

Answer 1

The population in 2039 would be;

`117,726`

Note: this value can be confirmed by using the spreadsheet to extrapolate values.

Step-by-step explanation:

Given that the population in 2019 was;

`103,126`

And the population in 2020 was;

`103,856`

The population growth can be modeled with a linear equation;

`y=mx+b`

The slope m is given as;

`m=730`

And b would be the value of y at x=0.

where x is the number of years after 2019;

`b=103,126`

the model can then be written as;

`y=730x+103,126`

At year 2039, x would be;

`x=2039-2019=20`

substituting the value of x into the model;

`\begin{gathered} y=730(20)+103,126 \\ y=117,726 \end{gathered}`

Therefore, the population in 2039 would be;

`117,726`

Note: this value can be confirmed by using the spreadsheet to extrapolate values.