Fahrenheit and Celsius. In the Fahrenheit temperature scale, water boils at 212°F and freezes at 32°F. In the Celsius scale, water boils at 100°C and freezes at 0°C. Assume that the Fahrenheit temperature F and Celsius temperature C are linearly related.
a. Find the equation in the slope-intercept form relating F and C, with C as the independent variable.
b. What is the meaning of slope in part (a)?
c. Find the Fahrenheit temperatures, to the nearest degree, corresponding to 40°C, 25°C, – 5°C, and – 10°C.
d. Find the Celsius temperatures, to the nearest degree, corresponding to 100°F, 90°F, 75°F, – 10°F, and – 20°F.
e. The normal body temperature in humans ranges from 97.6°F to 99.6°F. Convert this temperature range to degrees Celsius.
f. When is the Celsius temperature the same numerical value as the Fahrenheit temperature?
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