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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?.

Respuesta :

The equivalent equation was solved for the value of h [tex]\rm h =\dfrac{P - 0.7b}{0.7r }[/tex].

Given that

Anastasia uses the equation [tex]\rm p = 0.7(rh + b)[/tex] 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.

We have to determine

What is an equivalent equation solved for h?

According to the question

Anastasia uses the equation

P = 0.7 (rh + b)

Where; P = take home pay

r = rate (dollars per hour)

h = number of hours worked

b = bonus

Then,

The equivalent equation solved for the value of h;

[tex]\rm P = 0.7 (rh + b)\\ \\ p = 0.7rh +0.7b\\ \\ p-0.7b=0.7rh\\ \\ \rm h = \dfrac{P - 0.7b}{0.7r }[/tex]

Hence, The equivalent equation was solved for the value of h  [tex]\rm h =\dfrac{P - 0.7b}{0.7r }[/tex].

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