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 $y=32+1.8x$.
a. Determine the $y$-intercept $b_0$ and the slope $b_1$.
$$\begin{array}{l}{b}_0=32\\ b_1=1.8\end{array}$$
b. Find the Fahrenheit temperature corresponding to the Celsius temperature $-{37}^{\circ }$. degrees
c. Find the Fahrenheit temperature corresponding to the Celsius temperature $0^{\circ }$. degrees
d. Find the Fahrenheit temperature corresponding to the Celsius temperature ${24}^{\circ }$. degrees
e. Find the Fahrenheit temperature corresponding to the Celsius temperature ${100}^{\circ }$. degrees
f. Graph the linear equation $y=32+1.8x$, 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 ${38}^{\circ }$. Then calculate that temperature exactly by using the linear equation $y=32+1.8x$. The exact Fahrenheit temperature corresponding to the Celsius temperature of ${38}^{\circ }$ is
degrees