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Mathematics, 04.12.2019 23:31, datboyjulio21

For 1992 through 1994, the per capita consumption of fish and shellfish in the

u. s. increased at a rate that was approximately linear. in 1992, the per capita

consumption was 14.7 pounds, and in 1994 it was 15.1 pounds."

36. write a linear model for the per capita consumption of fish and shellfish

in the u. s. let t represent the number of years since 1992.

37. what would you expect the per capita consumption of fish and shellfish

to be in 2002?

Respuesta :

raphealnwobi

Answer:

The answer is below

Step-by-step explanation:

A linear equation is represented by the equation y = mx + b, where m is the rate of change, b is the value of y at x = 0, y is a dependent variable and x is an independent variable.

Let t represent the number of years since 1992, and P represent the per capita consumption of fish and shellfish in the U.S.

In 1992 (t = 0), the per capita  consumption was 14.7 pounds, this can be represented by (0, 14.7) while in 1994 (t = 1994-1992=2) it was 15.1 pounds this can be represented by (2, 15.1)

Using (0, 14.7) and (2, 15.1) we can get the equation of the line using:

[tex]P-P_1=\frac{P_2-P_1}{t_2-t_1}(t-t_1)\\ \\P-14.7=\frac{15.1-14-7}{2-0}(t-0)\\ \\P-14.7=0.2t\\\\P=0.2t+14.7[/tex]

In the year 2002 (t = 2002-1992 = 10), the per capita consumption of fish and shellfish is:

P = 0.2(10) + 14.7

P = 16.7 pounds

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