In 2011 online sales were 192 billion and in 2015 they are p
In 2011 online sales were $192 billion and in 2015 they are predicted to be $260 billion.
a) Find a linear function S that models these data. Write S(x) in slope intercept form.
b) Interpret the slope of the graph of S.
c) Determine when online sales were $243 billion.
Part a) S(x) = (slope intercept form)
b) Interpret the slope of the graph of S. Choose the correct answer below
a) Sales increased, on average, by $17 billion/yr.
b) Sales increased by $17 billion in next 4 years.
c) Sales decreased by $17 billion in next 4 years.
d) Sales decreased, on average, by $17 billion/yr.
Finally, part c) Online sales were $243 billion in the year ______
Solution
2011 online sales were $192 billion and in 2015 they are predicted to be $260 billion.
x =1 in 2011, x =5 in 2015
(1,192),(5,260)
a) linear function
S-192=[(260-192)/(5-1)](x-1)
S-192=17(x-1)
S=17x-17+192
S=17x+175
linear function S that models these data is S(x)=17x +175
b)
a) Sales increased, on average, by $17 billion/yr.
c)S(x)=243
17x +175=243
17x=243-175
x=4
Online sales were $243 billion in the year __2014____

