Corrine wrote temperatures in degrees Celsius and the equivalent temperatures in degrees Fahrenheit. Equivalent Temperatures Celsius - 10 5 10 20 Fahrenheit 14 41 50 68 Which explains how Corrine could determine if the temperatures vary directly?

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)