Methanol, also known as wood alcohol, can be used as a fuel for suitably equipped vehicles. Table 1 lists the freezing temperature for various concentrations (as a percentage of total weight) of methanol in water. A linear regression model for the data in Table 1 is

T = 40 - 2M

where M is the percentage of methanol in the solution and T is the temperature at which the solution freezes.
(A) Draw a scatter plot of the data and a graph of the model on the same axes.

(B) Use the model to estimate the freezing temperature to the nearest degree of a solution that is 35% methanol.
(C) Use the model to estimate the percentage of methanol in a solution that freezes at -50°F.

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Table 1 Methanol (%Wt) 0 10 20 30 40 50 60 Freezing temperature (F) 32 20 0 -15 -40 -65 -95