Question

Nyoko is having a pizza party. If two large pizzas serve 9 people, what scale factor could she use to determine how many pizzas she would need, in order to serve 27 guests at the party?

Answer 1

`x=6`

Explanation:

If you know about the constant of variation in algebra 2 then this should be easy, anyways this is how to solve it.
In constant of variation:
`y=kx` we can say that y= 9 and x = 2
so what will be the scale factor? Well, we could find that by finding k.
so,
`y=kx`
`9=2k`
`k=4.5`
we that we could just plug in k and the number of guests in the next scene to find how many pizzas,
so;
`27=4.5x`
`x=27/4.5`
`x=6`
Thus to serve 27 guests, you need six pizzas. Remember 4.5 or 9 guests in every 2 pizzas is the scale factor.