When fitting a particular family of functions $($e$.$g$.,$ linear or exponential$)$ to a data set, you should have

a good reason for using that family of functions. To illustrate why this is the case, consider the following

graph, which illustrates the temperature $($in degrees Fahrenheit$)$ of scalloped potatoes $t$ minutes after I

put them into my $350F$ oven: ${?}^1$

$($a$)[2$ marks$]$ Using the leftmost and rightmost data points, fit a linear function to this data.

$($b$)[1$ mark$]$ Use your answer from part $($a$)$ to estimate what temperature the scalloped potatoes will

be after $2$ hours in my oven.

$332\mathrm{.}5F$

$($c$)[2$ marks$]$ Your answer to part $($b$)$ should make absolutely no sense given the physical setup of the

problem. Explain why. Use proper grammar and punctuation.