Question

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

Answer 1

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 2

Answer:

$y=\frac{5}{2}x$

Step-by-step explanation:

Given,

y varies directly with x,

I.e. $y\propto x$

$\implies y = kx ----(1)$

Where,

k = constant of proportionality,

We have,

y = 10 when x = 4

From equation (1),

$10=4x\implies x = \frac{10}{4}=\frac{5}{2}$

Again from equation (1),

$y=\frac{5}{2}x$

Which is the required direct linear variation equation.