Question

If y varies directly as x and y = 4 and x = 10, what does x equal when y = 7?

Answer 1

Answer: x = 17
`(1)/(2)`

Explanation:

From the question: y α x

⇒ y = kx

y=4 and x = 10 implies

4 = 10k

k = 4/10

k = 2/5

substitute k = 2/5 into the equation

y = 2/5 x

When y = 7 , the equation becomes

7 =
`(2x)/(5)`

35 = 2x

35/2 =x

Therefore : 17
`(1)/(2)`

x =