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

Answer:

$h=\frac{p-0.7b}{0.7r}$

Step-by-step 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:

$p-0.7b=0.7rh\\\frac{p-0.7b}{0.7r}=h$

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

Answer 2

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