contestada

For the data in the table, does y vary directly with x? If it does, write an equation for the direct variation. x|y 4|28 6| 48| 8| 72
A. yes; y = 2x
B. yes; y = 5x
C. yes; y = 7x
D. no; y does not vary directly with x

Respuesta :

Kaikerscupcake
Let's have a look:

2(4)= 8 (this would not work)

5(4)= 20 (this wouldn't work)

7(4)= 28 This does, let's check the others.

7(6)= 42 This does not work.

"D" would be the correct answer.

I hope this helps!
~cupcake
cristianguachamin01

Answer:

The answers is D.

Step-by-step explanation:

That [tex] y [/tex] varies directly with [tex] x [/tex] means that there exist a constant [tex] k [/tex] such that [tex] y = kx [/tex]. If we suppose that [tex] y [/tex] varies directly with [tex] x [/tex] , then

[tex] 4k = 28 [/tex] , [tex] 6k = 48 [/tex] and [tex] 8k = 72 [/tex],

from where we get

[tex] k = \frac{28}{4} [/tex], [tex] k = \frac{48}{6} [/tex] and [tex] k = \frac{72}{8} [/tex]

and hence

[tex] k = 7 [/tex], [tex] k = 8 [/tex] and [tex] k = 9 [/tex].

Since the value of [tex] k [/tex] is not constant, then [tex] y [/tex] does not vary directly with [tex] x [/tex].

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