31.01.2023

Which equation represents a proportional relationship? A. y=x/8. B. y=8/x. C. y=x/8+8. D. y=8/x+8.

. 4

Faq

Mathematics
Step-by-step answer
P Answered by PhD

  C. y=4x

Step-by-step explanation:

Proportional relationship means that the line will be going through the origin, meaning that if the x coordinate is 0, then y has to also equal to 0. Also another way to determine a proportional relationship is by identifying the slope and y intercept. If the line has a y-intercept then it is not proportional because it will not be going through the origin.

y = 4x  Input 0  for x and y.

0 = 4(0)  

0 = 0  

This makes the statement true because if x is 0 then y is also 0.

Mathematics
Step-by-step answer
P Answered by PhD

Table C represents the proportional relationship between the x and y values.

Step-by-step explanation:

Proportional relationship definition states that x increase y increases.Proportional relationship  definition states that x decrease y decreases.Table A x decreases and y increases so it is not proportionate.Table B x  decreases and y increases so it not proportionate.Table C x decreases y decreases and x increases y increase.Table C x remains 0 y to remains 0 so it is proportionate.Table D one part of x decreases and y increases it is not proportionate.
Mathematics
Step-by-step answer
P Answered by PhD

Table C represents the proportional relationship between the x and y values.

Step-by-step explanation:

Proportional relationship definition states that x increase y increases.Proportional relationship  definition states that x decrease y decreases.Table A x decreases and y increases so it is not proportionate.Table B x  decreases and y increases so it not proportionate.Table C x decreases y decreases and x increases y increase.Table C x remains 0 y to remains 0 so it is proportionate.Table D one part of x decreases and y increases it is not proportionate.
Mathematics
Step-by-step answer
P Answered by Master
D is the answer because if you calculate the answer correctly. that will be so.
Mathematics
Step-by-step answer
P Answered by PhD

Table B shows a proportional relationship between x and y

Step-by-step explanation:

x            y

1            0.5

2            1

7            3.5

8            4

It is clear from the table that y varies directly with x.

Using the formula

y ∝ x

y=kx

Where k is the constant of proportionality

In order to find 'k',

k=y/x

Putting the values of x and y from the given table to determine the constant of proportionality

For (1, 0.5)

k=0.5/1=0.5

For (2, 1)

k = 1/2 = 0.5

For (7, 3.5)

k = 3.5/7 = 0.5

For (8, 4)

k = 4/8 = 0.5

As the value of the constant of proportionality  'k' is the same.

Thus, table B shows a proportional relationship between x and y

Mathematics
Step-by-step answer
P Answered by Master
D is the answer because if you calculate the answer correctly. that will be so.

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