If `C=(5)/(9)(F-32)`, then express F in terms of C.

Options

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

Explanation

To express \( F \) in terms of \( C \) from the equation \( C = \frac{5}{9}(F - 32) \), we can follow these steps:

### Step 1: Start with the given equation
We have the equation:
\[ C = \frac{5}{9}(F - 32) \]

### Step 2: Eliminate the fraction
To eliminate the fraction, multiply both sides of the equation by 9:
\[ 9C = 5(F - 32) \]

### Step 3: Distribute on the right side
Now distribute the 5 on the right side:
\[ 9C = 5F - 160 \]

### Step 4: Isolate \( F \)
Next, we want to isolate \( F \). To do this, add 160 to both sides:
\[ 9C + 160 = 5F \]

### Step 5: Solve for \( F \)
Now, divide both sides by 5 to solve for \( F \):
\[ F = \frac{9C + 160}{5} \]

### Final Result
Thus, the expression for \( F \) in terms of \( C \) is:
\[ F = \frac{9C}{5} + 32 \]

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