Ordered pairs

Question

ee and donut shop, but has expanded recently throughout the world. In 2011, there were 10,083 stores worldwide. By 2014, this had grown to 10,884. (Source: Dunkin’ Donuts) a. Write an equation describing the relationship between year and number of Dunkin’ Donuts stores. Use ordered pairs of the form (years past 2011, numbers of Dunkin’ Donuts stores). b. Use this equation to predict the number of Dunkin’ Donuts stores in 2018.

Answer 1

(2011, 10083) (2014, 10884)

in 3 years they grew 801 stores, that's 801/3 = 267 per year growth rate

S = 10083 + 267(Y-2011)

S(2018) = 10083 + 267(2018-2011)

= 10083 +267(7)

= 10083 + 1932

= 12015 stores in 2018 predicted

or if you want to plot this on an x y graph write the equation as Y=267X + 10083 where X = number of years since 2011 and Y = stores, 267 = slope of the line and 10083 is the Y intercept