Given that the variable y varies directly with the variable x. If the value of x is 14, the value of y will be 21.
If the value of x is 14, what is the value of y?
Proportional relationships are relationships between two variables where their ratios are equivalent.
A direct variation is expressed;
a ∝ b then a = kb
Where k is the proportionality constant.
Given the data in the question
First, we determine the proportionality constant.
a = kb
15 = k × 10
k = 15/10
k = 3/2
Now, if the value of x is 14, then the value of y will be;
a = kb
y = kx
y = (3/2) × 14
y = ( 3 × 14 )/2
y = 42/2
y = 21
Given that the variable y varies directly with the variable x. If the value of x is 14, the value of y will be 21.
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