Answer:
[tex]y=1,500x+20,690[/tex]
Step-by-step explanation:
Write an equation of a line in slope-intercept form, to find the total number of screens y for any year x
we know that
The linear equation in slope intercept form is equal to
[tex]y=mx+b[/tex]
where
m is the slope or unit rate of the linear equation
b is the y-intercept or initial value of the linear equation
Let
x ----> the number of years between 1990 and 1999
y ----> the number of movie screens in the United States
In this problem we have that
The unit rate or slope is equal to
[tex]m=1,500\ \frac{movies\ screens}{year}[/tex]
we have the ordered pair
(6,29,690)
The x-coordinate is 6 because
1996-1990=6 years ---> is the number of years since 1990
substitute the given values in the equation
[tex]y=mx+b\\29,690=1,500(6)+b[/tex]
Solve for b
[tex]29,690=9,000+b\\b=29,690-9,000\\b=20,690\ movies\ screens[/tex]
The linear equation is
[tex]y=1,500x+20,690[/tex]
