Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

1). When temperature is 0 degrees Celsius, the Fahrenheit temperature is 32. Whe

ID: 2910553 • Letter: 1

Question

1). 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). Show work for full credit. A). Find the rate of change of Fahrenheit temperature for each unit change temperature of Celsius? (25pts) (Hint: Write the given temperature values as an order pair) B). Using the rate of change in A) write an equation in terms of F(C). (25 pts) C) Find and interrupt F(28). Write a sentence relating Fahrenheit to Celsius. (25pts) D). Find and interpret F(-40). Write a sentence relating Fahrenheit to Celsius. (25pts)

Explanation / Answer

(0,32),(100,212)

slope=(212-32)/(100-0)=180/100=9/5

slope intercept form is

y=mx+b

F=(9/5)C+32

A. Rate of change is 9/5

B.F(C)=(9/5)C+32

C.F(28)=(9/5)28+32=82.4 °C

28°F is equal to 82.4°C

D.F(-40)=(9/5)(-40)+32=-40°C

-40°F is equal to -40°C