The Celsius to Fahrenheit formula: F=9/5C+32
Solve this formula for C. Check all answers that are true.
(4 points)
Responses
A. First step is to multiply by 9 on each side.
B. First step is to add 32 to both sides.
C. The next step from F - 32 = 9/5 C, could be to multiply both sides by 5
D. The next step from F - 32 = 9/5 C, could be to divide both sides by 5
E. Solution: 5/9F - 32 = C
F. To solve this equation for C, you would have to distribute at some point.
To solve the Celsius to Fahrenheit formula F=9/5C+32 for C, you would need to follow the steps in the correct order.
Based on the given formula, the correct steps are as follows:
1. First step is to subtract 32 from both sides: F - 32 = 9/5C (B)
2. The next step could be to multiply both sides by 5: 5(F - 32) = 9C (C)
3. The next step could be to divide both sides by 9: (5/9)(F - 32) = C (D)
So, the correct answers are B, C, and D.
The solution for C is (5/9)(F - 32) as shown in option D. Option E is incorrect because it is the inverse of the formula. Option F is also incorrect because distributing is not necessary in solving this formula.
To solve the Celsius to Fahrenheit formula F = (9/5)C + 32 for C, we can follow these steps:
1. Subtraction: Subtract 32 from both sides of the equation:
F - 32 = (9/5)C
2. Division: Divide both sides of the equation by (9/5) or 9/5:
(F - 32) / (9/5) = C
Therefore, the correct steps are:
B. First step is to add 32 to both sides.
D. The next step from F - 32 = 9/5 C could be to divide both sides by 9/5.
The correct solution for C is:
C. Solution: (F - 32) / (9/5) = C