Question
The temperature in degrees Celsius (C) can be converted to degrees Fahrenheit (F) using the formula F(C)= 9/5 C+k, where k is a constant. Find k, if to C=−40ºC corresponds F=−40ºF.
Answers
Bosnian
F(C) = 9 / 5 C + k
− 40º F = 9 / 5 ∙ ( - 40°C ) + k
Mathematically:
− 40 = 9 / 5 ∙ ( - 40 ) + k
− 40 = 9 ∙ ( - 40 ) / 5 + k
− 40 = - 360 / 5 + k
− 40 = - 72 + k
Add 72 to both sides
− 40 + 72 = - 72 + k + 72
32 = k
k = 32
− 40º F = 9 / 5 ∙ ( - 40°C ) + k
Mathematically:
− 40 = 9 / 5 ∙ ( - 40 ) + k
− 40 = 9 ∙ ( - 40 ) / 5 + k
− 40 = - 360 / 5 + k
− 40 = - 72 + k
Add 72 to both sides
− 40 + 72 = - 72 + k + 72
32 = k
k = 32