Question

The population of Jose’s town in 1995 was 2400 and the population in 2000 was

Answer 1

Answer:

$y=320x+2400$

Step-by-step explanation:

Remember, a line has the form $y=mx+b$, where $m$ is the slope and $b$ is the y-intercept. In this cases, y represents the population when have been passed x years since 1995.

Since x represent the number of years since 1995, then in 1995, x=0 and the population is 2400. Then a point of the linear equation is (x,y)=(0,2400).

In 2000 has been passes 5 years since 1995 and the population is 4000, this means that x=5 and y=4000. Then other point in the line is (x,y)=(5,4000)

For find the equation of the line that describe the preview situation we use the points found.

Remember, if $(x_1, y_1)$ and $(x_2,y_2)$ are pointsin the plane, the slope of the line that passes through the points is

$m=\frac{y_2-y_1}{x_2-x_1}$, and the line is of the form $y-y_1=m(x-x_1)$

Then, using the points (0,2400),(5,4000), we have that

$m=\frac{4000-2400}{5-0}=\frac{1600}{5}=320$

and $y-2400=320(x-0)\\y-2400=320x\\y=320x+2400$