Respuesta :

Answer: yes they have a proportional relationship

Step-by-step explanation:

Ratios are proportional if they represent the same relationship. One way to see if two ratios are proportional is to write them as fractions and then reduce them. If the reduced fractions are the same, your ratios are proportional.

Step one : let us test say c=1

F=9/5*1+32

F=9/5+32

F=1.8+32

F=33.8

Say c=2

F=9/5*2+32

F=9/10+32

F=0.9+32

F=32.9

Observe that as c increases

F reduces Hence they have a proportional relationship

This question is based on the ratio and proportion. Therefore, it is conclude that, yes,  there is a proportional relationship between C and F.

Given:

The equation F=9/5C+32 relates temperature measured in degrees Celsius, C, to degrees Fahrenheit, F.

We have to show that, there is a proportional relationship between C and F.

According to the question,

As we know that, ratios are proportional if they represent the same relationship. One way to see if two ratios are proportional is to write them as fractions and then reduce them. If the reduced fractions are the same, then ratios are proportional.

Let us take,  C=1. And, solve it further,

[tex]F= \dfrac{9}{5} (1)+32\\F=\dfrac{9}{5}+32\\F=1.8+32\\F=33.8\\[/tex]

Now, taking C = 2 and solve it further.

[tex]F= \dfrac{9}{5} (2)+32\\\\F=\dfrac{9}{10}+32\\\\F=0.9+32\\\\F=32.9\\[/tex]

It  is observe that, as we increases C then value of F decreases.

Therefore, it is conclude that, yes,  there is a proportional relationship between C and F.

For more details, prefer this link:

https://brainly.com/question/13114933