Answer:
F = 1.8C + 32
Step-by-step explanation:
Let the temperature in Celsius (C) and temperature in Fahrenheit (F) are related by the direct variation equation
F = aC + b ........... (1)
Taking two ordered pairs (-10, 14) and (5,41) we can determine the equation.
Now, 14 = - 10a + b .............. (2) and
41 = 5a + b ................. (3)
Solving equations (2) and (3) we get,
(41 - 14) = 15a
⇒ a = 1.8
Now, from equation (3) we get,
41 = 5(1.8) + b
⇒ b = 32
Therefore, the equation to determine the Fahrenheit temperature from the Celsius temperature is,
F = 1.8C + 32 (Answer)
