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
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