Answer:
a = 4b
Step-by-step explanation:
Given that a varies directly as b then the equation relating them is
a = kb ← k is the constant of variation
To find k use the condition a = 16 when b = 4, that is
16 = 4k ( divide both sides by 4 )
4 = k, thus
a = 4b ← equation of variation
An equation that relates a and b: is equal to a = 4b
Given the following data:
To determine an equation that relates a and b:
Since the value of a varies directly with b. This ultimately implies that, the value of a is directly proportional to the value of b.
Mathematically, this is represented as follows:
[tex]a\;\alpha \;b\\\\a=kb[/tex]
First of all, we would determine the constant of proportionality (k).
Substituting the given parameters into the formula, we have;
[tex]16=k4\\\\k=\frac{16}{4}[/tex]
k = 4
For the equation:
a = 4b
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