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?

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Answer 1 · 2018-07-10T13:29:11

I tried this:

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#