159k views
3 votes
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

User Otoomey
by
8.7k points

2 Answers

5 votes
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.
User Nathan Fox
by
9.1k points
4 votes

Answer:


y=(5)/(2)x

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 = (10)/(4)=(5)/(2)

Again from equation (1),


y=(5)/(2)x

Which is the required direct linear variation equation.

User Louie Bacaj
by
8.6k points

No related questions found