Measuring Temperature. The two most commonly used scales for measuring temperature are the Fahrenheit and Celsius scales. If you let $y$ denote the Fahrenheit temperature and $x$ denote Celsius temperature, you can express the relationship between those two scales with the linear equation $y = 32 + 1.8 x$.

a. Determine the $y$-intercept $b_0$ and the slope $b_1$.

$b_0$ =

$b_1$ =

b. Find the Fahrenheit temperature corresponding to the Celsius temperature $-18^{\circ}$.
degrees

c. Find the Fahrenheit temperature corresponding to the Celsius temperature $0^{\circ}$.
degrees

d. Find the Fahrenheit temperature corresponding to the Celsius temperature $33^{\circ}$ .
degrees

e. Find the Fahrenheit temperature corresponding to the Celsius temperature $100^{\circ}$.
degrees

f. Graph the linear equation $y = 32 + 1.8 x$, using the four points found in (b), (c), (d) and (e).

g. Apply the graph obtained in part (f) to estimate visually the Fahrenheit temperature corresponding to a Celsius temperature of $23^{\circ}$. Then calculate that temperature exactly by using the linear equation $y = 32 + 1.8 x$. The exact Fahrenheit temperature corresponding to the Celsius temperature of $23^{\circ}$ is
degrees