Answer:
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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