The average annual per-person consumption (in pounds per person) A(t) and B(t) of two comparable food products, A and B, are modeled by the system shown to the right, where t is the number of years since 1970. Use substitution or elimination to predict when the consumption of product A will equal that of product B. What will be that consumption? y = A(t) = 1.03t + 24.39 y = B(t) = - 0.59t + 123.83 The consumption of product A will equal that of product B in the year (Round to the nearest year as needed.) Average Annual Per-Person Consumption of Two Comparable Food Products Average Annual Consumption (pounds per person) Year Product A Product B The consumption will be pounds per person. (Round to one decimal place as needed.) 1970 28.7 124.9 1975 27.2 118.7 1980 33.8 121.8 1985 37.4 116.9 1990 43.5 105.6 1995 51.3 107.5 2000 56.5 107.6 2005 61.4 105.3 .....

Algebra and Trigonometry (6th Edition)
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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The average annual per-person consumption (in pounds per person) A(t) and B(t) of two comparable food
products, A and B, are modeled by the system shown to the right, where t is the number of years since
1970. Use substitution or elimination to predict when the consumption of product A will equal that of product
B. What will be that consumption?
y = A(t) = 1.03t + 24.39
y = B(t) = - 0.59t + 123.83
Average Annual Per-Person Consumption
of Two Comparable Food Products
Average Annual Consumption
(pounds per person)
....
The consumption of product A will equal that of product B in the year
(Round to the nearest year as needed.)
Year
Product A
Product B
The consumption will be pounds per person.
1970
28.7
124.9
(Round to one decimal place as needed.)
1975
27.2
118.7
1980
33.8
121.8
1985
37.4
116.9
1990
43.5
105.6
1995
51.3
107.5
2000
56.5
107.6
2005
61.4
105.3
Transcribed Image Text:The average annual per-person consumption (in pounds per person) A(t) and B(t) of two comparable food products, A and B, are modeled by the system shown to the right, where t is the number of years since 1970. Use substitution or elimination to predict when the consumption of product A will equal that of product B. What will be that consumption? y = A(t) = 1.03t + 24.39 y = B(t) = - 0.59t + 123.83 Average Annual Per-Person Consumption of Two Comparable Food Products Average Annual Consumption (pounds per person) .... The consumption of product A will equal that of product B in the year (Round to the nearest year as needed.) Year Product A Product B The consumption will be pounds per person. 1970 28.7 124.9 (Round to one decimal place as needed.) 1975 27.2 118.7 1980 33.8 121.8 1985 37.4 116.9 1990 43.5 105.6 1995 51.3 107.5 2000 56.5 107.6 2005 61.4 105.3
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