Mean annual U.S. per-person consumption of chicken and red meat (in pounds per person) is described for various years in Table 57.

Let C(t) be the mean annual per-person consumption of chicken and R(t) be the mean annual per-person consumption of red meat, both in pounds per person, at t years since 1970. Equations of C and R are C (t) = 1.09 t + 39.33 and R (t) = -0.91 t + 143.89.
a. Use technology to determine whether the graph of C comes close to the points of the appropriate scatterplot.
b. Use technology to determine whether the graph of R comes close to the points of the appropriate scatterplot.
c. Find C(42) and R(42). What do they mean in this situation?
d. Compare the slopes of the two models. What does your comparison mean in this situation?
e. Find the sum of the slopes of the two models. What does your result mean in this situation?

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Table 57 Mean Annual U.S. Per-Person Consumption of Chicken and Red Meat Mean Annual Consumption (pounds per person) Year Chicken Red Meat 1970 1980 1990 2000 2010 2013 40.1 47.4 60.6 77.4 828 83.2 145.1 136.1 1194 120.2 107.9 104.4