x - Number of Days y - Cost 6 2 9 3 24 8 3 1 Part A Is this a proportional relationship? Part B If this is a proportional relationship, what is the constant? Write N/A if it is not proportional. Part C If this is a proportional relationship, write a direct proportion equation. Write N/A if it is not proportional.

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26-08-2022
Mathematics

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x - Number of Days y - Cost 6 2 9 3 24 8 3 1 Part A Is this a proportional relationship? Part B If this is a proportional relationship, what is the constant? Write N/A if it is not proportional. Part C If this is a proportional relationship, write a direct proportion equation. Write N/A if it is not proportional.

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MrRoyal MrRoyal · Answer 1 · 2022-09-14T18:53:13+02:00

This relationship is a proportional relationship and the direct proportion equation is y = 1/3x

Part A Is this a proportional relationship?

The table of values is given as:

x - Number of Days y - Cost

6 2

9 3

24 8

3 1

Divide y by x in each of the above values

So, we have

2/6 = 1/3

3/9 = 1/3

8/24 = 1/3

1/3 = 1/3

See that the results are the same i.e. 1/3

Hence, this relationship is a proportional relationship

Part B If this is a proportional relationship, what is the constant?

In (a), we have:

2/6 = 1/3

3/9 = 1/3

8/24 = 1/3

1/3 = 1/3

The results represent the constant of proportionality

Hence, the constant of proportionality is 1/3

Part C If this is a proportional relationship, write a direct proportion equation.

We have

k = 1/3

A direct proportion equation is represented as

y = kx

So, we have

y = 1/3x

Hence, the direct proportion equation is y = 1/3x

Read more about direct proportion at

https://brainly.com/question/1266676

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Respuesta :

Part A Is this a proportional relationship?

Part B If this is a proportional relationship, what is the constant?

Part C ​If this is a proportional relationship, write a direct proportion equation.

Otras preguntas

Part C If this is a proportional relationship, write a direct proportion equation.