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If y varies directly with x, and y = 10 when x = 4, write the direct linear variation equation

A. y = 10x

B. y = 4x

C. y = 5/2

D. y = 2/5

Respuesta :

mendietajose513
The answer is c. I chose the answer c because y=5/2x(I think you forgot to put the x in the question) filled in with the numbers are true while a, b, and d aren't true if filled with 10 and 4.

Answer:

[tex]y=\frac{5}{2}x[/tex]

Step-by-step explanation:

Given,

y varies directly with x,

I.e. [tex]y\propto x[/tex]

[tex]\implies y = kx ----(1)[/tex]

Where,

k = constant of proportionality,

We have,

y = 10 when x = 4

From equation (1),

[tex]10=4x\implies x = \frac{10}{4}=\frac{5}{2}[/tex]

Again from equation (1),

[tex]y=\frac{5}{2}x[/tex]

Which is the required direct linear variation equation.

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