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

Answer 1

Your 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 h?

Your Answer:

We need to solve for h or to make a equation for h.

$\tt p = 0.7(rh + b)\\\\ \tt \Rightarrow p=\frac{7}{10}(rh+b)\\\\\tt \Rightarrow \frac{10p}{7}=rh+b\\\\ \tt \Rightarrow \frac{10p}{7}-b=rh\\\\ \tt \Rightarrow \frac{10p-7b}{7r}=h$

Or

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

So option A seems to be the correct answer. Because h equals StartFraction p Over 0.7 EndFraction minus b divided by r

Answer 2

Given :   p = 0.7(rh + b)  

To find : Equation for  h

Solution:

p = 0.7(rh + b)

p = Take home pay

r = rate of Dollars per hr

h = number of hours worked

b = bonus received

p = 0.7(rh + b)  

=> p = 0.7rh +  0.7b

=> (p/0.7) = rh + b

=> rh = (p/0.7)  - b

=> h =  ( (p/0.7)  - b ) ÷ r

h =  ( (p/0.7)  - b ) ÷ r  

or  h = ( p  - 0.7b) / (0.7 r)

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