Constant of proportionality

Question

Nila uses the equation c=8h to figure out the total amount c she should charge a customer if she babysits for h hours. Find the constant of proportionality and explain what it means.

Answer 1

When two variables are directly proportional to

each other the basic equation is:

x = ky where k is the constant of proportion

 

In this case c= 8h

where the charge is directly proportional to

the amount of hours she babysits.

The constant of proportionality is 8

 

The constant of proportionality here means

that the amount charged increases by a

factor of 8 for each hour Nila babysits.