Question

Anastasia uses the equation p = 0.7(rh + b) to estimate the amount of take-home pay, p, for h hours worked at a rate of r dollars per hour and any bonus received, b.What is an equivalent equation solved for h?

Answer 1

p = 0.7 ( r h + b )
p = 0.7 r h + 0.7 b
0.7 r h = p - 0.7 b
h = ( p - 0.7 b ) / 0.7 r
h = 10 ( p - 0.7 b ) / 7 r
h = ( 10 p - 7 b ) / 7 r

Answer 2

`h=(p-0.7b)/(0.7r)`

Explanation:

The equation given is
`p=0.7(rh+b)`

Using distributive property on this, we can expand. Distributive property is given as:

`a(b+c)=ab+ac`

Using this, we have:

`p=0.7rh+0.7b`

Rearranging and solving for
`h` gives us:

`p-0.7b=0.7rh\\(p-0.7b)/(0.7r)=h`

This is the formula with
`h` as the subject.