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The value of y is directly proportional to the value of x. If y = 36 when x = 140 what is the value of y whenx x = 70?

1 Answer

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Answer:

The value of y is 18 at x = 70

Explanation:

The equation of the directly proportional is y = k x, where k is the constant of proportionality.

∵ The value of y is directly proportional to the value of x

→ By using the equation above

y = k x

∵ x = 140 and y = 36

→ Substitute them in the equation above

36 = k(140)

∴ 36 = 140k

→ Divide both sides by 140


(36)/(140) = k


(9)/(35) = k

→ Substitute the value ok in the equation

y =
(9)/(35) x ⇒ equation of proportionality

x = 70

→ Substitute in the equation to find y

∴ y =
(9)/(35) × 70

y = 18

The value of y is 18 at x = 70

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