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.