Answer
The table, equation, and graph are shown below.
Work Step by Step
Table: Figure 1 below is a table showing the relationship between the amount of time that has passed (in hours) and the temperature.
Equation: Let $y$ be the temperature and $x$ be the number of hours that has passed. Since the temperature increases $2^\circ F$ every $0.75$ hours (i.e. every $45$ minutes) then the rate of increase is
$$
\frac{2}{0.75}=\frac{200}{75}=\frac{8}{3}\text{ $^\circ F$ per hour}
.$$Since the initial temperature is $60^\circ F$, the temperature, $y$, after $x$ hours has passed is
$$
y=\frac{8}{3}x+60
.$$
Graph: Figure 2 below is a graph showing the relationship between the amount of time that has passed (in hours) and the temperature.
