Between 1990 and 1999, the number of movie screens in the United States increased by about 1500 each year. In 1996, there were 29,690 movie screens. Write an equation of a line in slope-intercept form, to find the total number of screens y for any year x. Predict the number of movie screens in the United States in 2005.​

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 xwe know thatThe linear equation in slope intercept form is equal to[tex]y=mx+b[/tex]wherem is the slope or unit rate of the linear equationb is the y-intercept or initial value of the linear equationLetx ----> the number of years between 1990 and 1999y ----> the number of movie screens in the United StatesIn this problem we have thatThe 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 because1996-1990=6 years ---> is the number of years since 1990substitute 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]