Q. 87 - Precalculus Enhanced with Graphing Utilities

Question

Temperature Measurements The relationship between the Celsius $(°C)$ and Fahrenheit $(°F)$ scales for measuring temperature is given by the equation.

$F=\frac{9}{5}C+32$

The relationship between the Celsius $\left(°C\right)$ and Kelvin $\left(K\right)$ scales is $K=C+273$. Graph the equation $F=\frac{9}{5}C+32$ using degrees Fahrenheit on the y-axis and degrees Celsius on the x-axis. Use the techniques introduced in this section to obtain the graph showing the relationship between Kelvin and Fahrenheit temperatures.

Step-by-Step Solution

Answer

The graph for the equation  $F=\frac{9}{5}C+32$ using degrees Fahrenheit on the $y$ axis and degrees Celsius on the $x$axis is,

Step 1 For graphing the equation, select some values for C and compute for F .

Now plot the points and draw a straight line through  them to graph $F=\frac{9}{5}C+32$.

Step 2 Since Kelvin temperature is 273 ° more than Celsius temperature, the graph showing the relationship between Kelvin and Fahrenheit temperatures can be obtained by horizontally shifting the graph of F = 9 5 C + 32 by 273 units to the right.