Video rental stores are being replaced by streaming subscriptions. In one area, there were 10 video rental locations in 1996, but by 2016, that number had dwindled to 1. Assuming a constant decrease in the number of stores, calculate the unit rate of change (slope) from 1996 to 2016.

Respuesta :

Answer:

The unit rate is -1 store per year

Step-by-step explanation:

Let

x -----> the number of years since 1996

y ----> the number of video rental stores

we know that

The year 1996 represent x=0

so

2016 represent ----> x=2016-1996=10 years

we have the points

(0,10) and (10,1)

The unit rate is equal to the slope of the linear equation

Find the slope m

[tex]m=(1-10)/(10-0)[/tex]

[tex]m=-1\ stores/year[/tex] ----> is negative because is a decreasing function

therefore

The unit rate is -1 store per year