# [SOLVED] REALLY hard supply and demand equation

• Sep 4th 2005, 08:49 PM
Clarice123
[SOLVED] REALLY hard supply and demand equation
Pasta Imports-- During the period 1990-2001, U.S. imports of pasta increased from 290 million pounds in 1990(t=0) by an average of 40 million pounds/year.
a) Use these data to express q, the annual U.S. imports of pasta(in millions of pounds), as a linear function of t, the number of years since 1990.
b)Use your model to estimate U.S. pasta imports in 2005, assuming the import trend continues.

• Sep 4th 2005, 10:26 PM
ticbol
Linear function only?
Okay.

Are you familiar with y = mx +b ?
That is the slope-intercept form of the equation of a line.

Where
q(t) is "q of t", is q as a function of t, is in million lbs.
t is in years, based from year 1990.

-----------------
When t = 0, or in 1990,
q(0) = 290 +40*0
q(0) = 290 million lbs. -------this is given.

In year 2005,
t = 2005 -1990 = 15 years
So,
q(15) = 290 +40(15)
q(15) = 290 +600
q(15) = 890 million lbs --------answer.