Problem

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Problem 19 Medium Difficulty

Cost of a Pizza A pizza parlor charges $\$ 12$ for a cheese
pizza and $\$ 1$ for each topping.
(a) How much does a 3-topping pizza cost?
(b) Find a formula that models the cost $C$ of a pizza with
(c) If a pizza costs $\$ 16,$ how many toppings does it have?

$$n=1 \quad n=4$$

Answer

a) Since a topping costs $\$ 1$ each, then 3 toppings would cost $3(1)=\$ 3$
b) $\begin{aligned} C &=12+1(n) \\ C &=12+n \end{aligned}$
c) $\begin{aligned} 16 &=12+n \\ n &=4 \text { toppings. } \end{aligned}$

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Video Transcript

so from the problem. You know, if you thinks we know that cheese pizza, which is the base layer of anything except is going to be $12. And the second piece of information that we know is that a copping is equal $1 this is for each and every topping. So these are two known facts, and so now part eh asks us to find the price of a pizza with three toppings. And so we know that the base chief Pete, is going to be $12 and now we have to add a dollar each topping and we have three. We're gonna add a dollar for stopping a dollar for the second hopping and don't know that they're talking. And this leaves us with a total of $15. And from this, we know that aren't three timing pizza is gonna $15. No, we're after doing her B. It's fine. A general formula for the cost of a pizza with any number of tough things. And so we know that there is a constant price for the cheese pizza at the very bottom work Pizza, you're gonna be $12. How many? $1 should add so that we have any number of toppings. So one thing we can do it is we can created definition so variable say is equal to number. Uh and we know that for every topping we ah, paying $1. And what this means is that if we come back to with that, if we come back here, you know that we are paying $1 times each of the end, hoping that we have and really being some pie this and we get just us then because the one I had a property and now for part C, you want to know how many toppings there are on a pizza that cost $16 so 16 is equal to see me Not excuse equals 12 plus, then as her heart be over here. And so we have this, we can do some basic algebra and by subtracting fall on both sides. We, in fact, yet four is equal to end Answer. There are four toppings on this pizza

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