UpStudy Free Solution:

To convert 42°F to Celsius and round to the nearest integer, we use the formula:

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

Substitute \(F = 42\):

\[C = \frac { 5} { 9} ( 42 - 32) \]

\[C = \frac { 5} { 9} \times 10\]

\[C = \frac { 50} { 9} \]

\[C \approx 5.56\]

Rounding 5.56 to the nearest integer gives us 6.

So, 42°F is approximately 6°C when rounded to the nearest integer.

The correct answer is:

\[\boxed{ 6° C} \]

Supplemental Knowledge

Temperature conversion between Fahrenheit and Celsius is a common task in both everyday life and scientific contexts. The formula to convert Fahrenheit (\(F\)) to Celsius (\(C\)) is:

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

This formula arises from the relationship between the two temperature scales. The Fahrenheit scale sets the freezing point of water at 32°F and the boiling point at 212°F, while the Celsius scale sets these points at 0°C and 100°C, respectively. The conversion factor \(\frac { 5} { 9} \) comes from the ratio of the intervals between these two points on each scale.

Additionally, for quick mental conversions, one can use approximate methods:

- To convert from Fahrenheit to Celsius: Subtract 30 and then halve the result.

- To convert from Celsius to Fahrenheit: Double the number and then add 30.

These approximations are not exact but can be useful for quick estimates.

Understanding temperature conversions are just one example of the many uses math has in our everyday lives. From complex physics problems to everyday calculations, having access to reliable resources such as UpStudy can make all the difference!
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