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b Math
In 2011 online sales were $193 billion, and in 2014 they were $247 billion.
(a) Find a linear function that models these data, where S is the sales in billions of dollars and x is the year. Write S(x) in slope-intercept form
(b) Interpret the slope of the graph of S.
(c) Determine when online sales were $229 billion
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Respuesta :

atd69
A) S(x) = 18x + -36005
B) 18
C) 2013

Using linear function concepts, we have that:

a) S(x) = 18x + 193.

b) It means that each year the amount of online sales increased by $18 billion.

c) Online sales were of $229 billion in 2013.

What is a linear function?

A linear function is modeled in slope-intercept formula by:

[tex]y = mx + b[/tex]

In which:

  • m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
  • b is the y-intercept, which is the value of y when x = 0.

Item a:

For the parameters of the function, we have that:

  • In 2011, the value was of $193 billion, hence A(0) = 193.
  • In 3 years, the amount increased to $247 billion, that is, $54 billion from the 2011 amount, hence m = 54/3 = 18.

Hence, the function is:

S(x) = 18x + 193.

Item b:

The slope is the rate of change, hence it means that each year the amount of online sales increased by $18 billion.

Item c:

This is x years after 2011, for which S(x) = 229, hence:

S(x) = 18x + 193

229 = 18x + 193

18x = 36

x = 2

Online sales were of $229 billion in 2013.

More can be learned about linear function concepts at https://brainly.com/question/24808124

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