Question

If x and y are in direct variation and x is 40 when y is 8, find the value of x when y is 12. Also, find the constant of variation.​

Answer 1

Answer:

It is given that the cost of apples (y) and number of apples (x) are in direct variation.

∴y∝x⇒y=kx∴y∝x⇒y=kx, where k is constant of variation

When x = 1, y = 8.

∴ 8 = k × 1

⇒ k = 8

So, the equation of variation is

y = 8x

When y = 56,

56 = 8x

⇒ x = 7

When x = 12,

y = 8 × 12 = 96

When y = 160,

160 = 8x

⇒ x = 20

Step-by-step explanation:

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