Question

y is directly proportional to x when y=30, x=6

a)Work Out an equation connecting y and x

b)Work Out the value of y when x=12

Answer 1

Answer:

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 proportionality

To find k use the condition when y = 30, x = 6

k = $\frac{y}{x}$ = $\frac{30}{6}$ = 5

y = 5x ← equation of proportionality

When x = 12, then

y = 5 × 12 = 60

Answer 2

The equation that's connecting x and y will be y = kx

This is a direct proportion, since y is directly proportional to x when y=30, x=6, we have to find the constant of proportionality and this will be:

y = kx

k = y/x

k = 30/6

k = 5

Therefore, y = 5x

Therefore, the equation will be y = kx

Therefore, the value of y when x=12 will be:

y = kx

y = 5 × 12

y = 60

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