Question

At Burton's Pizzeria, a pizza with 2 toppings cost $10.50 and a pizza with 5 toppings cost $14.25. How do you write an equation that represents the relationship between the number of toppings and the cost of pizza?

Answer 1

I tried this:

Explanation:

Let us call the cost of the pizza `P` without topping and the cost of one topping `x` we get:

`P+2x=$10.5`
and
`P+5x=$14.25`

let us solve for `P` and `x`:

from the first: `P=$10.5-2x`

into the second:

`$10.5-2x+5x=$14.25`

`3x=$3.75`

so that: `x=$3.75/3=$1.25`

and `P=$8`

So the total cost for one pizza depending upon the number of toppings `x` will be:

`C(x)=$8+$1.25x`