Question

Two quantities, a and b, have a proportional relationship, where a = -4 when b = -3. Create an equation to represent this relationship

Answer 1

`b=(3/4)a`

Explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form
`y/x=k` or
`y=kx`

In this problem the variables are a and b

so

`b/a=k`

Find the value of k

For a=-4, b=-3

substitute

`k=-3/-4=3/4`

The equation is equal to

`b=(3/4)a`