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A proportional relationship exists between x and y. When X=8 the value of Y is 14

(a) Write an equation for y in terms of x.
(b)your equation to determine the value of y when x=36

User Stupakov
by
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1 Answer

9 votes

Answer:

a) The equation of y in terms of 'x'


y = (1)/(k) x

b) y = 63.0

Explanation:

Step(i):-

Given that the' x' is proportional to 'y'

x ∝ y

x = ky

where 'k' is proportional constant

Given that x =8 and y=14

The equation x= ky

8 = k (14)


k = (8)/(14) = 0.5714

Step(ii):-

a) The equation x= ky

The equation of y in terms of 'x'


y = (1)/(k) x

b)

Given that x = 36 and k = 0.5714

The equation of y in terms of 'x'


y = (1)/(k) x


y = (36)/(0.5714)

y = 63.0

User Chepner
by
7.9k points

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