Question

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

Answer 1

The time it takes to complete a kitchen remodeling job varies inversely with the number of workers. The equation to find the time when p workers are assigned is t(p) = 80/p.

Step-by-step explanation:

The relationship between the time it takes to remodel a kitchen and the number of workers assigned to the job is described as inversely proportional. This means that as the number of workers (p) increases, the time (t) it takes to complete the job decreases.

We can use the formula:

t(p) = k/p

where k is a constant value.

Given that a kitchen remodeling job takes 40 hours to complete when 2 workers are assigned to it, we can plug this information into the equation to find the value of k:

40 = k/2

Multiplying both sides of the equation by 2 gives us:

80 = k

So, the equation to find the time to complete the job when p workers are assigned to it is:

t(p) = 80/p