Give that y is directly proportional to x. if y =6, x = 2 . (a) find the value of k (b) calculate y when x = 7 (c) calculate x when y = 30

see explanation

Step-by-step explanation:

Given that y is directly proportional to x then the equation relating them is

y = kx ← k is the constant of proportion

(a)

To find k use the condition y = 6, x = 2, then

6 = 2k ( divide both sides by 2 )

k = 3

y = 3x ← equation of proportion

(b)

When x = 7, then

y = 3 × 7 = 21

(c)

When y = 30, then

30 = 3x ( divide both sides by 3 )

x = 10

(a) k = 3

               (b) y = 21

               (c) x = 10

Step-by-step explanation:

Directly proportional uses the formula: y = kx

(a) Given y = 6 and x = 2, find k.             6 = k(2)

                                                                 3 = k

(b) Given k = 3 and x = 7, find y.             y = kx

                                                                y = 3(7)

                                                                y = 21

(c) Given k = 3 and y = 30, find x.           y = kx

                                                               30 = 3x

                                                                10 = x

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