Mathematics

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21 February, 15:43

The annual amount A (in billions of dollars) Americans spent on meals and

beverages purchased for the home for the years since 2000 can be modeled

by

A (C) - 286 + 880

where t represents the year, with t = 3 corresponding to 2003. Two different

tables of values for A (t) are given below. Use the tables to answer the

following questions.

| A (t)

454

312

241

198.4

170

149.71

It

A (C)

10

105.454

100 36.436

1000 28.851

10000 28.085

100000 28.00852

1000000 28.000852

Part A: Is this function increasing or decreasing? What does this mean in the

context of the problem.

Part B: What is the horizontal asymptote of the function? Interpret the

meaning of the asymptote in the context of the problem.