Complete each solution. Convert 70^∘ C to degrees Fahrenheit. F =(9)/(5) C+32 =(9)/(5)(

step 1 So for this problem, we need to complete each solution where we convert 70 degrees centigrade to

Complete each solution. Convert 70^∘ C to degrees...

Complete each solution.
Convert $70^{\circ} \mathrm{C}$ to degrees Fahrenheit.
$$
\begin{aligned}
F &=\frac{9}{5} C+32 \\
&=\frac{9}{5}(\quad)+32 \\
&=5+32 \\
&=158
\end{aligned}
$$
Thus, $70^{\circ} \mathrm{C}=158$

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Key Concepts

Linear Transformation in Unit Conversion

This concept refers to the method of converting units by applying a linear equation, where the value is scaled and then shifted consistently. Such a transformation maintains the proportional relationships between numbers, enabling precise conversions across different measurement systems.

Celsius and Fahrenheit Temperature Scales

These are two systems used to measure temperature. The Celsius scale is based on the properties of water with 0° as the freezing point and 100° as the boiling point, while the Fahrenheit scale sets 32° as the freezing point of water and 212° as its boiling point, requiring a conversion formula to switch between them.

Conversion Formula

The formula F = (9/5)C + 32 provides a direct linear relationship to convert a temperature in Celsius to its equivalent in Fahrenheit. It involves scaling the Celsius value by 9/5 to account for the difference in interval sizes between the two scales and then adding 32 to adjust for the differing starting points.

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