Question

Solve for the indicated variable. Include all of your work in your answer. Submit your solution for 5(F−32)=9, for F.

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

Answer 1

To solve the equation 5(F-32)=9 for F, divide by 5 and then add 32 to both sides, achieving the solution F = 9/5 (32), which is answer choice B.

Step-by-step explanation:

To solve for the indicated variable F in the equation 5(F−32)=9, we need to isolate F on one side of the equation. Here's a step-by-step process to solve for F:

1. Divide both sides of the equation by 5 to get F−32 = 9/5.
2. Add 32 to both sides of the equation to isolate F, which gives us F = 9/5 + 32.

This yields the solution F = 9/5 (32), which corresponds to answer choice B.

Additional Information:

To demonstrate the relationship between a temperature change in Fahrenheit and a temperature change in Celsius, consider a decrease in temperature. If we have a 40.0°F decrease in Fahrenheit, to convert to Celsius, we use the formula ΔTc = ΔTf x 5/9, which shows that any change in temperature in Fahrenheit degrees is nine-fifths the change in Celsius degrees.