The formulas r = 0.07t + 2.27 and w = 0.08t + 2.48 give an approximate model for the yearly average price r of a bushel of rye and w of a bushel of wheat over the past five years, where t is the number of years since 1994. What is the first year in which the price of rye exceeded $2.48/bu and the price of wheat exceeded $2.56/bu?
The price of rye exceeded $2.48 after 1997
The price of wheat exceeded $2.56 after 1995
Just need to verify that I got the right answers
2007-10-01 18:37:29 · 3 answers · asked by Lady E 1 in Science & Mathematics ➔ Mathematics
You got it!
for r=2.48=0.07t + 2.27
solve for t and get:
t = 3
t>3 for r>2.48
and the same process for w = 2.56, t = 1
w > 2.56, t>1
2007-10-01 18:58:31 · answer #1 · answered by 037 G 6 · 0⤊ 0⤋
Your statements are correct, so the first year in which the price of rye exceeded $2.48/bu AND the price of wheat exceeded $2.56/bu would be 1998. The answer could also be interpreted as 1997 since the modeling equation is continuous rather than a step function.
2007-10-01 19:13:44 · answer #2 · answered by Helmut 7 · 0⤊ 0⤋
you are correct for both answers
2007-10-01 18:42:39 · answer #3 · answered by erikoo7 3 · 0⤊ 0⤋