Question

The manager of a food court estimates that he needs 7 pretzels for every 20 people who attend a hockey game. What constant of proportionality relates the number of pretzels to people

Answer 1

we are given

number of pretzels =y=7

number of people=x=20

now, we have to find

constant of proportionality relates the number of pretzels to people

Let's assume they are directly related

so, we can use formula

`k=(y)/(x)`

where

k is constant of proportionality

y is number of pretzels

x is number of people

so, we can plug values

and we get

`k=(7)/(20)`

so, constant of proportionality is
`(7)/(20)`...........Answer

Answer 2

0.35.

Explanation:

We have been given that the manager of a food court estimates that he needs 7 pretzels for every 20 people who attend a hockey game.

We will use proportions to solve our given problem.

`\frac{\text{Number of pretzels}}{\text{Number of people}}=(7)/(20)`

`\frac{\text{Number of pretzels}}{\text{Number of people}}=0.35`

This means that number of pretzels per people is 0.35, therefore, the constant of proportionality is 0.35.