**UpStudy Free Solution:**

To convert Celsius to Fahrenheit, you can use the formula:

\[F = \frac { 9} { 5} C + 32\]

where \(F\) is the temperature in Fahrenheit and \(C\) is the temperature in Celsius.

For \(70^ \circ C\):

\[F = \frac { 9} { 5} \times 70 + 32\]

\[F = 126 + 32\]

\[F = 158\]

So, \(70^ \circ C\) is equal to \(158^ \circ F\).

**Supplemental Knowledge**

Temperature conversion between Celsius and Fahrenheit is a common task in various scientific and everyday contexts. Understanding the relationship between these two temperature scales is essential for accurate conversions. Here are some key concepts related to this conversion:

1. Conversion Formula:

- The formula to convert Celsius (\(C\)) to Fahrenheit (\(F\)) is:

\[F = \frac { 9} { 5} C + 32\]

- This formula arises from the linear relationship between the two scales, where water freezes at \(0^ \circ C\) (32°F) and boils at \(100^ \circ C\) (212°F).

2. Derivation of the Formula:

- The freezing point of water is \(0^ \circ C = 32^ \circ F\).

- The boiling point of water is \(100^ \circ C = 212^ \circ F\).

- The difference in degrees between freezing and boiling points on the Celsius scale is 100, while on the Fahrenheit scale it is 180.

- Thus, each degree Celsius corresponds to \(\frac { 180} { 100} = \frac { 9} { 5} \) degrees Fahrenheit.

3. Reverse Conversion:

- To convert Fahrenheit back to Celsius, use the formula:

\[C = \frac { 5} { 9} ( F - 32) \]

- This allows you to switch between scales as needed.

4. Practical Examples:

- For instance, converting \(25^ \circ C\) to Fahrenheit involves:

\[F = \frac { 9} { 5} \times 25 + 32 = 45 + 32 = 77^ \circ F\]

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