Question

Harry is an artist. He paints portraits. The number of paintings he makes can be determined by the equation p = .3b where p is the number of painting and b is the number of paint bottles used. Identify the constant of proportionality.

Answer 1

k=0.3

Explanation:

-The constant of proportionality is defined as the ratio between two directly proportional variables.

-Given that p=0.3b

#The constant of proportionality is calculated as:

- the equation can be written in the form y=kx,

where y varies directly with x and k is the constant of variation:

`y=kx\\\\k=(y)/(x)\\\\\therefore p=0.3b\\\\(p)/(b)=0.3=k\\\\k=0.3`

Hence, the constant of proportionality, k is 0.3