Question

nastasia 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

Start with p = 0.7(rh + b).

Divide both sides by 0.7: p/0.7 = rh + b.

Subtract b: p/0.7 - b = rh.

Divide by r: h = (p/0.7 - b)/r.

(Equivalent form: h = (p - 0.7b)/(0.7r).)