Assume that a varies directly as b. What is the constant of proportionality if a = 8 when b = 2?

Mathematics

2 answers:

Lena [83]3 years ago

8 0

Answer:

k = 4

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 = 8 when b = 2

k = $\frac{a}{b}$ = $\frac{8}{2}$ = 4

lisov135 [29]3 years ago

8 0

Answer:

K = 4

Step-by-step explanation:

Given that varies a directly as b then the equation relating them is

Simply implies that a is directly proportional to b, that is increase in a will cause increase in, and decrease in a will cause decrease in b, and vice versa, where k remains constant.

a α b

a = kb, where k is constant

To find k use the condition a = 8 when b = 2, we make k the subject of the formular

K = a/b

K = 8/2

K = 4

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Step-by-step explanation:

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