Question

Video rental stores are being replaced by streaming subscriptions. In one area, there

Answer 1

Answer:

The unit rate is -0.5 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

(0,9) and (10,4)

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

Find the slope m

$m=(4-9)/(10-0)$

$m=-0.5\ stores/year$ ----> is negative because is a decreasing function

therefore

The unit rate is -0.5 store per year

Answer 2

Answer:

The given problem is about the decrease of two variable, where $x$ represent years and $y$ represents video rental.

The ratio here refers to the slope of the linear decreasing behaviour, where pairs are (1996,9) and (2016, 4). The formula for the slope is

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1} }=\frac{4-9}{2016-1996}=\frac{-5}{20}=-\frac{1}{4}\\ m=-0.25$

This means that the linear relation decreases, with a constant ratio of 0.25, that is, video rental decreases one per 4-years periods.