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

Here are the step-by-step workings:

Given equation:

p = 0.7(rh + b)

Where,

p = take-home pay

r = rate per hour ($/hr)

h = hours worked

b = bonus

Step 1: Replace p with 0.7(rh + b)

0.7(rh + b) = h(r) + b

Step 2: Factor out r from the right side

0.7(rh + b) = r(h) + b

Step 3: Subtract b from both sides

0.7(rh + b) - b = r(h)

Step 4: Divide both sides by r

(0.7(rh + b) - b) ÷ r = h

Therefore, the equivalent equation solved for h is:

h = (p - b) ÷ (0.7r)

So in summary, the equivalent equation solved for h is:

h = (p - b) ÷ (0.7r)

Where,

h = hours worked

p = take-home pay

r = rate per hour ($/hr)

b = bonus