A pizza shop has 300 pounds (4800 ounces of dough. A small pizza uses 12 ounces of dough and a large pizza uses 18 ounces of dough. Write and graph and inequality describing the possible numbers of small and large pizzas that can be made. Then five three possible solutions.

Question

anonymous · Answer

@jim_thompson5910 could you help again please/

jim_thompson5910 · Answer

What are your variables here?

jim_thompson5910 · Answer

ie, what are your unknowns?

anonymous · Answer

is it something like 12<x<18?

jim_thompson5910 · Answer

not quite

jim_thompson5910 · Answer

Let x = number of small pizzas and y = number of large pizzas

anonymous · Answer

18=a(12)?

jim_thompson5910 · Answer

no this is a completely different problem than before

anonymous · Answer

is it somtething like ethis? y-18=m(x-12)

jim_thompson5910 · Answer

no it's simply this

if you make x small pizzas and they take 12 oz of dough, then in total, the small pizzas will take 12x oz of dough

jim_thompson5910 · Answer

use similar logic to find how much dough is needed for the large pizzas

anonymous · Answer

i dont get it..

anonymous · Answer

sorry

jim_thompson5910 · Answer

focus on the small pizzas only for a moment

jim_thompson5910 · Answer

1 sm pizza needs 12 oz

2 sm pizzas need 12*2 oz

3 sm pizzas need 12*3 oz

...etc etc

x small pizzas need 12*x or just 12x ounces of dough

making (more) sense now?

anonymous · Answer

12* x *18<300 is it somethinglike this?

jim_thompson5910 · Answer

close

jim_thompson5910 · Answer

you need 18y ounces of dough to make 'y' large pizzas

jim_thompson5910 · Answer

in total, you need 12x+18y ounces of dough to make x smalls and y larges

jim_thompson5910 · Answer

you have 4800 oz of dough total

jim_thompson5910 · Answer

so

12x+18y <= 4800

6(2x+3y) <= 4800

2x+3y <= 4800/6

2x+3y <= 800

anonymous · Answer

wait so the first part, inequality is 12x+18y <4800?

jim_thompson5910 · Answer

12x+18y <= 4800

jim_thompson5910 · Answer

<= means "less than or equal to"

jim_thompson5910 · Answer

and 

12x+18y <= 4800

simplifies to 

2x+3y <= 800

anonymous · Answer

ok so do i do it like this? 2(12)+3(18)<800
24+54
78<800

jim_thompson5910 · Answer

you just plugged in x = 12 and y = 18

this means that you're making 12 smalls and 18 larges

jim_thompson5910 · Answer

since 78 is less than 800, this means that you have not used up all the available dough

anonymous · Answer

so what should i do?

jim_thompson5910 · Answer

you need to graph

anonymous · Answer

could you help my graph? :/ so sorry

jim_thompson5910 · Answer

graph 2x + 3y  = 800

then shade below the line

anonymous · Answer

you mean graph y=-2/3+800/3?

jim_thompson5910 · Answer

or you could graph y=-2/3x+800/3 yes