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Minchanka [31]
3 years ago
7

The time it takes to remodel a kitchen t(p) varies inversely with the number of workers assigned to the job p. A kitchen remodel

ing job takes 40 hours to complete when 2 workers are assigned to it. Which equation can be used to find the time to complete the job when p workers are assigned to it.
A. t(p)=40p
B. t(p)=8p
C. t(p)=80/p
D. t(p)=20/p
Mathematics
2 answers:
galina1969 [7]3 years ago
8 0
<span>t(p) = 80/p is the answer.</span>
emmasim [6.3K]3 years ago
5 0

Answer: C. t(p)=\dfrac{80}{p}

Step-by-step explanation:

Equation of inverse variation:-

y=\dfrac{k}{x}, where k is variation constant.

Given : The time it takes to remodel a kitchen t(p) varies inversely with the number of workers assigned to the job p.

i.e. t(p)=\dfrac{k}{p}  (1)

A kitchen remodeling job takes 40 hours to complete when 2 workers are assigned to it.

i.e. t(2)=40=\dfrac{k}{2}

\Rightarrow k=40\times2=80

Then , the equation can be used to find the time to complete the job when p workers are assigned to it (Put k= 80 in (1)) :

t(p)=\dfrac{80}{p}

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First, you have to change the equation into slope-intecept formula to find its gradient (slope) :

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