Answer:h= [tex]\frac{(p/0.7-b)}{r}[/tex]
Step-by-step explanation:
1) p/0.7=rh+b
2) (p/0.7)-b=rh
3) [tex]\frac{(p/0.7-b)}{r}[/tex] =h
h= [tex]\frac{(p/0.7-b)}{r}[/tex]
The equivalent equation for isolated variable h = [tex]\frac{p-0.7b}{r}[/tex] obtained from the equation p = 0.7(rh + b).
Isolating a variable is the re-arrangement of the equation for the required variable. Even though rewriting the terms, doesn't affect the logic of the equation. It forms an equivalent equation.
The given equation is p = 0.7(rh + b)
Where,
p - home pay
h - working hours
r - the rate of dollars per hour
b - bonus received
Re-writing the equation for the variable h:
p = 0.7(rh + b)
⇒ p/0.7 = rh + b
⇒ p/0.7 - b = rh
⇒ h = p/0.7r -b/r
∴ h = [tex]\frac{p-0.7b}{r}[/tex]
Therefore, variable h is isolated and obtained an equivalent equation.
Learn more about isolating the variable here:
https://brainly.com/question/23692213
#SPJ2
