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Answer:
is the amount, in millions, for the number of Apple iPods sold in t years after 2005.
Step-by-step explanation:
Linear function:
A linear function has the following function:
In which m is the slope(the value that y changes by when x changes by 1) and b is the y-intercept(the initial value of the output).
Finding the value in 2005:
This is b.
The number of Apple iPods sold in 2009 was 54.13 million. That number decreased approximately linearly to 26.38 million iPods sold in 2013.
So in 4 years, it decreased from 54.13 - 26.38 = 27.75 million.
So the value in 2005 should also be 27.75 million more than in 2009, that is 54.13 + 27.75 = 81.88. So
Using A for y and t for x
Finding the slope:
When we have two points, the slope is given by the change in the output divided by the change in the input.
In 4 years, the amount decrease by 27.75 million. So
So
is the amount, in millions, for the number of Apple iPods sold in t years after 2005.