The Celsius to Fahrenheit formula: F = 9/5C + 32

Question

Solve this formula for C. Check all answers that are true.

(4 points)

A. The Celsius to Fahrenheit formula: F=95C+32

Solve this formula for C. Check all answers that are true.

(4 points)
Responses

First step is to multiply by 9 on each side.
First step is to multiply by 9 on each side.

First step is to add 32 to both sides.
First step is to add 32 to both sides.

The next step from F - 32 = 9/5 C, could be to multiply both sides by 5
The next step from F - 32 = 9/5 C, could be to multiply both sides by 5

The next step from F - 32 = 9/5 C, could be to divide both sides by 5
The next step from F - 32 = 9/5 C, could be to divide both sides by 5

Solution: 5/9F - 32 = C
Solution: 5/9F - 32 = C

To solve this equation for C, you would have to distribute at some point.

First step is to add 32 to both sides.

The next step from F - 32 = 9/5 C, could be to multiply both sides by 5

The next step from F - 32 = 9/5 C, could be to divide both sides by 5

Solution: 5/9F - 32 = C

To solve this equation for C, you would have to distribute at some point.

Answer 1

To solve the Celsius to Fahrenheit formula $F=\frac{9}{5}C+32$ for $C$, let's go through the steps.

1. Start with the original equation:
   $F=\frac{9}{5}C+32$

2. Subtract 32 from both sides:
   $F-32=\frac{9}{5}C$

3. Multiply both sides by $\frac{5}{9}$ to isolate $C$:
   $C=\frac{5}{9}(F-32)$

Which can also be written as:
$C=\frac{5}{9}F-\frac{160}{9}$

However, the expression $C=\frac{5}{9}(F-32)$ is the more common form to represent it.

Checking the Given Responses

1. First step is to multiply by 9 on each side.
   False - The first step involves subtracting 32, not multiplying.

2. First step is to add 32 to both sides.
   False - You need to subtract 32 from both sides, not add.

3. The next step from $F-32=\frac{9}{5}C$, could be to multiply both sides by 5.
   False - The next step should be to multiply both sides by $\frac{5}{9}$, not just 5.

4. The next step from $F-32=\frac{9}{5}C$, could be to divide both sides by 5.
   False - Dividing both sides by 5 does not isolate $C$.

5. Solution: $\frac{5}{9}F-32=C$
   False - This is not correct because it has $-32$ on the wrong side.

6. To solve this equation for C, you would have to distribute at some point.
   False - The distribution is not necessary. You are simply calculating $\frac{5}{9}(F-32)$.

Correct Solution

In summary, the correct answer (however not one of the provided options) should be:
Solution: $C=\frac{5}{9}(F-32)$

None of the provided statements are true based on the correct steps needed to solve the equation.