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?

h = (h equals StartFraction p Over 0.7 EndFraction minus b divided by r.– b)÷ r
h = h equals StartFraction p Over 0.7 EndFraction minus b divided by r.– b ÷ r
h = h equals left-parenthesis StartFraction p Over 0.7 EndFraction right-parenthesis divided by r minus b.÷ r – b
h = h equals StartFraction p minus b Over 0.7 EndFraction divided by r. ÷ r

Answer 1

A

Explanation:

Answer 2

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

Explanation:

Solving for h, you find ...

`p=0.7(rh+b)\\\\(p)/(0.7)=rh+b\qquad\text{divide by 0.7}\\\\(p)/(0.7)-b=rh\qquad\text{subtract $b$}\\\\\boxed{h=\left((p)/(0.7)-b\right)/ r}\qquad\text{divide by $r$}`

_____

We suppose your first answer choice may be the correct one. It appears to have the necessary parentheses. (Actually, all of the choices shown here are nonsense.)