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? A. h = (p/0.7 - b)/r B. h=p/0.7 -b/r C. h=(p/0.7)/r -b D. h= p-b/0.7/r

Answer 1

To solve the equation p = 0.7(rh + b) for h, divide both sides by 0.7, subtract b, and finally divide by r. The equivalent equation for h is A. h = (p / 0.7 - b) / r.

Step-by-step explanation:

The student seeks an equivalent equation of p = 0.7(rh + b) solved for h.

Starting with the original equation, we want to isolate h. We can do this by following these steps:

1. Divide both sides by 0.7 to undo the multiplication: p / 0.7 = rh + b.
2. Subtract b from both sides to get: (p / 0.7) - b = rh.
3. Finally, divide both sides by r to solve for h: h = (p / 0.7 - b) / r.

The equivalent equation solved for h is A. h = (p / 0.7 - b) / r.