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------------------------------------------------ We can measure temperature in two different common units: degrees Celsius and degrees Fahrenheit.

The variable [tex]F[/tex] represents the temperature in degrees Fahrenheit that is equivalent to [tex]C[/tex], the temperature in degrees Celsius. The relationship is given by:

[tex]F = 32 + 1.8C[/tex]

What is the temperature increase in degrees Fahrenheit that is equivalent to a temperature increase of 10 degrees Celsius?

[tex]\square[/tex] degrees Fahrenheit

To find the temperature increase in degrees Fahrenheit that corresponds to an increase of 10 degrees Celsius, we can use the given formula for converting Celsius to Fahrenheit:

[tex]\[ F = 32 + 1.8 \times C \][/tex]

Since we're only interested in the change in temperature, we can focus on the part of the formula that involves the change, which is [tex]\(1.8 \times C\)[/tex].

Here’s the step-by-step process:

1. Identify the temperature increase in Celsius. In this case, it is given as 10 degrees Celsius.

2. Use the factor for converting temperature changes from Celsius to Fahrenheit. According to the formula, [tex]\(1.8\)[/tex] is the factor that converts the temperature change.

3. Multiply the temperature increase in Celsius by this conversion factor:

[tex]\[ \text{Increase in Fahrenheit} = 1.8 \times 10 \][/tex]

4. Calculate the result:

[tex]\[ 1.8 \times 10 = 18.0 \][/tex]

So, a 10 degree Celsius increase is equivalent to an 18 degree Fahrenheit increase. Therefore, the temperature increase in degrees Fahrenheit is 18 degrees.