If a varies directly as b, and a=16 when b=4, find the equation that relates a and b.

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:

First of all, we would determine the constant of proportionality (k).

Substituting the given parameters into the formula, we have;

k = 4

For the equation:

a = 4b

Read more on direct proportion here: link

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

●yes, this statement is absolutely apt.

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