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A thermometer shows the temperature in degrees Celsius (°C) and degrees Fahrenheit (°F). One day, it shows 87°F and 31°C. The next day, it shows 94°F and 34°C. Determine if there is a proportional relationship between the temperature in degrees Celsius and the temperature in degrees Fahrenheit.

A. No, there is not a proportional relationship because 87 over 31 does not equal 94 over 34.
B. Yes, there is a proportional relationship because 87 over 31 equals 94 over 34.
C. No, there is not a proportional relationship because degrees Celsius and degrees Fahrenheit are not the same measurement.
D. Yes, there is a proportional relationship because degrees Celsius and degrees Fahrenheit are the same measurement.

Answer :

The values shown by the thermometer of 87 °F and 94 °F which in degrees Celsius are 31 °C and 34 °C indicates that the relationship is not a proportional relationship. The correct option is therefore;

  • No, there is not a proportional relationship because 87 over 31 does not equal 94 over 34.

What is a proportional relationship?

A proportional relationship is one in which one variable is a constant multiple of the other, such that the ratio of each data pair is a constant.

  • The temperature it shows on the first day = 87 °F and 31°C
  • The temperature it shows on the next day = 94 °F and 34 °C

The ratio of the two temperatures are therefore;

[tex]\dfrac{87}{31}[/tex] and [tex]\dfrac{94}{34}[/tex]

31 is a prime number, therefore'

[tex]\dfrac{87}{31} \neq \dfrac{94}{34}[/tex]

The ratio of the ordered pair of a proportional relationship is constant, the ratio of the specified values is not constant, therefore, the relationship is not a proportional relationship.

The correct option is therefore;

No there is not a proportional relationship because 87 over 31 does not equal 94 over 34

Learn more about proportional relationship in mathematics here:

https://brainly.com/question/10424180

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