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

Answer:

Option B. $p=k/b$

Step-by-step 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

$p=k/b$

Answer 2

Answer:

B. $p=\frac{k}{b}$

Step-by-step explanation:

Given,

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

$\implies p\propto \frac{1}{b}$

$\implies p=\frac{k}{b}$

Where, k is the constant of proportionality,

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

$p=\frac{k}{b}$

Option 'B' is correct.