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The table represents a proportional relationship.

x y
11 2
22 4
33 6

The graph represents another proportional relationship.

(Picture)

Which equation represents the lower unit rate of these two relationships?

A. y=2/9x

B. y=1/4x

C. y=1/5x

D. y=2/11

The table represents a proportional relationship x y 11 2 22 4 33 6 The graph represents another proportional relationship Picture Which equation represents the class=

Respuesta :

Answer:

the answer is d y=2

_ x

11

Step-by-step explanation:

I got it right on the test

akposevictor

2/11 is lower than 2/9, therefore the equation that will represent a lower unit rate (k) of both relationships given is: D. y=2/11

A proportional relationship between variable y and x can be expressed as:

y = kx

  • Where,

k is the unit rate/constant of proportionality.

  • Therefore,

k = y/x

Thus, find the equation for the table and the graph respectively in order to determine which equation represents the lower unit rate.

Equation for the table using a pair of coordinates, say (11, 2):

Find, unit rate (k) by substituting x = 11, and y = 2 into k = y/x

  • Thus:

k = 2/11

Plug in the value of k = 2/11 into y = kx

The equation for the table is:

y = 2/11x

Equation for the graph using a point on the line, say (9, 2):

Find, unit rate (k) by substituting x = 9, and y = 2 into k = y/x

  • Thus:

k = 2/9

Plug in the value of k = 2/9 into y = kx

  • The equation for the table is:

y = 2/9x

In conclusion, 2/11 is lower than 2/9, therefore the equation that will represent a lower unit rate (k) of both relationships given is: D. y=2/11

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