College

The temperature in a certain city ranges from -10 degrees Celsius to 30 degrees Celsius over the year. The functional relationship between the temperature in degrees Fahrenheit and degrees Celsius is given by the equation [tex]F = \frac{9}{5}C + 32[/tex], where [tex]F[/tex] represents degrees Fahrenheit and [tex]C[/tex] represents degrees Celsius. What is the range of the temperature in degrees Fahrenheit in this city?

A. -50 < F < 86
B. -14 < F < 62
C. 10 < F < 62
D. 14 < F < 86

Answer :

To transform Celsius degrees into Fahrenheit degrees, we can use the next formula:

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

Then, we have the first temperature in Celsius: -10. In Fahrenheit:

[tex]F=-10\cdot\frac{9}{5}+32=14[/tex]

The second temperature in Celsius: 30. In Fahrenheit:

[tex]F=30\cdot\frac{9}{5}_{}+32=86[/tex]

Therefore, the range of the temperatures in Fahrenheit is from 14 to 86 degrees.

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