Question

The temperature on a Fahrenheit temperature scale that is twice the temperature on a Celsius temperature scale is:

• A. \(160^\circ F\)
• B. \(240^\circ F\)
• C. \(320^\circ F\)
• D. \(480^\circ F\)

Hint:

The relation \( F = \frac{9}{5}C + 32 \) helps in converting temperatures between Celsius and Fahrenheit.

Answer 1

The Correct Option is C

We use the Fahrenheit-Celsius conversion formula: \[ F = \frac{9}{5}C + 32 \] Given that the Fahrenheit temperature is twice the Celsius temperature: \[ F = 2C \] Substituting \( F = \frac{9}{5}C + 32 \): \[ 2C = \frac{9}{5}C + 32 \] Solving for \( C \): \[ 2C - \frac{9}{5}C = 32 \] \[ \frac{10C - 9C}{5} = 32 \] \[ \frac{C}{5} = 32 \] \[ C = 160^\circ C \] \[ F = 2C = 320^\circ F \]