Given that A is directly proportional to B and that A = 5/3 when B = 5/6, find A when B=1/3 and B when A =15/2.

Step-by-step explanation:

A is directly proportional to B is written as

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

Multiply through by the LCM which is 6

That's

5k = 10

Divide both sides by 5

k = 2

So the formula for the variation is

when B = 1/3

When A = 15/2

Multiply through by 2

Divide both sides by 4

Hope this helps you