Find ROC. Find and Interpret F(28). Find and interpret F(-40)

Question

When temperature is 0 degrees Celsius, the Fahrenheit temperature is 32. When the Celsius temperature is 100, the corresponding Fahrenheit temperature is 212. Express the Fahrenheit temperature as a linear function of C, the Celsius temperature, F(C).

a. Find the rate of change of Fahrenheit temperature for each unit change temperature of Celsius.

b. Find and interpret F(28).

c. Find and interpret F(−40).

Answer 1

Rate of change = change in output/change in input

(212 - 32)/(100 - 0) = 180/100 = 1.8

Pick either "point" to use.

y - 212 = 1.8(x - 100)

y - 212 = 1.8x - 180

y = 1.8x + 32

f(28) = 1.8(28) + 32

f(28) = 50.4 + 32

f(28) = 82.4 degrees

I bet you can get the other!