The function f f determines the cost (in dollars) of a new honda accord in terms of the number of years t t since 2000. that is, f ( t ) f(t) represents the cost (in dollars) of a new honda accord t t years after 2000. use function notation to represent each of the following. the cost (in dollars) of a new accord in 2008?

To represent “cost is a function of years since 2000” we start by identifying the descriptive variables c for cost and t for years since 2000. And we use the letter f to represent the function (or rule). And we write

c= f(t)  

Now, to represent the cost (c) of a new Accord in 2008 we should count the years  since 2000, it have passed 8 years so we would write

c=f(8)    

The function notation for the cost (in dollars) of a new accord in 2008 is f (8)

Since the question says that f determines the cost of a new Honda accord in terms to the number of years (t) since 2000

Therefore, if (t) is the cost of the cost of a new Honda accord t years after 2000

Then, you should determine the function notation of the cost in dollars for a new accord in 2008.

But then, you have to calculate the difference in the numbers of years, therefore we have:

2008 – 2000  

= 8

This implies that for year 2008, the number of years is 8 since 2000

Therefore, f (8) is the cost in dollars for a new accord 8 years after 2000

Thus, the function notation for the cost (in dollars) of a new accord in 2008 is f (8)

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