High School

8. Convert 98.5 degrees Fahrenheit to Celsius.

a) 15°
b) 45°
c) 75°
d) 37°

9. Convert 10°C into °F.

a) 25°
b) 100°
c) 50°
d) 150°

10. Veena heard that it is 82° Fahrenheit in Ooty. She knows that [tex]F = \frac{9}{5}C + 32[/tex], where 'F' represents the temperature in degrees Fahrenheit and 'C' represents the temperature in degrees Celsius.

Which of the following is closest to the temperature in Ooty (°C)?

a) 28
b) 63
c) 90
d) 180

Answer :

Let's go through each of these conversions step-by-step.

  1. Convert 98.5 degrees Fahrenheit to Celsius:

    The formula to convert Fahrenheit to Celsius is:

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

    Where:

    • [tex]F[/tex] is the temperature in Fahrenheit
    • [tex]C[/tex] is the temperature in Celsius

    So, for [tex]F = 98.5[/tex]:

    [tex]C = \frac{5}{9} (98.5 - 32)[/tex]
    [tex]C = \frac{5}{9} \times 66.5[/tex]
    [tex]C \approx 37.0[/tex]

    Therefore, the closest answer is d) 37°.

  2. Convert 10°C into °F:

    The formula to convert Celsius to Fahrenheit is:

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

    Where:

    • [tex]C[/tex] is the temperature in Celsius
    • [tex]F[/tex] is the temperature in Fahrenheit

    So, for [tex]C = 10[/tex]:

    [tex]F = \frac{9}{5} \times 10 + 32[/tex]
    [tex]F = 18 + 32[/tex]
    [tex]F = 50[/tex]

    Therefore, the answer is c) 50°.

  3. Convert 82° Fahrenheit to Celsius in Ooty:

    Using the same formula [tex]F = \frac{9}{5} C + 32[/tex], we need to rearrange to solve for [tex]C[/tex]:

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

    Substitute [tex]F = 82[/tex]:

    [tex]C = \frac{5}{9} (82 - 32)[/tex]
    [tex]C = \frac{5}{9} \times 50[/tex]
    [tex]C \approx 27.78[/tex]

    The closest option to this temperature is a) 28°.

These calculations are straightforward and are used to convert temperatures between Fahrenheit and Celsius, which is useful in various contexts such as weather reports and scientific settings.

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