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For 1983 through 1989, the per capita con-
sumption of chicken in the U.S. increased at a
rate that was approximately linear. In 1983,
the per capita consumption was 36.8 pounds,
and in 1989 it was 50 pounds.
Write a linear model for per capita con-
sumption of chicken in the U.S. Let t repre-
sent time in years, where t = 3 represents
1983. Let y represent chicken consumption in
pounds.

Respuesta :

MathPhys

Answer:

y = 2.2t + 30.2

Explanation:

t = 3 represents 1983, and t = 9 represents 1989.

Two points on the line are (3, 36.8) and (9, 50).

First, find the slope of the line.

m = (50 − 36.8) / (9 − 3)

m = 2.2

Now use point-slope form to write the equation:

y − 36.8 = 2.2 (t − 3)

If you wish, simplify to slope-intercept form:

y − 36.8 = 2.2t − 6.6

y = 2.2t + 30.2

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