Question

The number of painters, p, employed to paint a building is inversely proportional to the time taken to paint the building, b. Which equation best models the number of painters required to finish the painting?

Answer 1

B.
`p=(k)/(b)`

Explanation:

Given,

The number of painters, p, employed to paint a building is inversely proportional to the time taken to paint the building, b

`\implies p\propto (1)/(b)`

`\implies p=(k)/(b)`

Where, k is the constant of proportionality,

Hence, the required equation that models the relation between p and b is,

`p=(k)/(b)`

Option 'B' is correct.

Answer 2

Option B.
`p=k/b`

Explanation:

we know that

A relationship between two variables, x, and y, represent an inverse variation if it can be expressed in the form
`y*x=k` or
`y=k/x`

Let

p-----> the number of painters

b----> the time taken to paint the building

we know that

`p*b=k`

so

`p=k/b`