Respuesta :

Stephen46

Step-by-step explanation:

A is directly proportional to B is written as

A = kB

where k is the constant of proportionality

First we must find the relationship between the two variables

when

A = 5/3

B = 5/6

Substitute the values into the formula to find k

[tex] \frac{5}{3} = k \frac{5}{6} [/tex]

Multiply through by the LCM which is 6

That's

[tex]5 \times 2 = 5k[/tex]

5k = 10

Divide both sides by 5

k = 2

So the formula for the variation is

A = 2B

when B = 1/3

[tex]A = 2 \times \frac{1}{3} [/tex]

[tex]A = \frac{2}{3} [/tex]

When A = 15/2

[tex] \frac{15}{2} = 2B[/tex]

Multiply through by 2

[tex]4B = 15[/tex]

Divide both sides by 4

[tex]B = \frac{15}{4} [/tex]

Hope this helps you

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