SOLUTION: At lunch, a group of friends goes to buy pizza and pop. For one person, a slice of pizza and pop costs $ 3.50. To buy one pizza and share will cost $ 8 plus $ 1.50 for each pop.

Question 1151522: At lunch, a group of friends goes to buy pizza and pop. For one person, a slice of pizza and pop costs $ 3.50. To buy one pizza and share will cost $ 8 plus $ 1.50 for each pop.

A. Create two equations that represent the cost of buying a pizza on your own, and the cost of pizza as a group.
B. Graph both lines - How many people have to buy pizza for them to be the same price

Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
the graph is shown below.

$$$

the red line is y = 3.5 * x.
the blue line is y = 8 + 1.5 * x.

the graphs intersect when x = 4 and y = 14.

when buying slices and soda individually, 4 people would pay 4 * 3.50 = 14 dollars.

when buying a whole pizza and soda individually, 4 people would pay 8 + 4 * 1.50 = 14 dollars.

the cost is the same.
however, depending on the size of the pizza and the size of each slice in the pizza, the group of 4 might get more pizza each when buying the whole pizza and sharing.

normally the same size whole pizza would contain 8 slices.
in that case, the group of 4 get 2 slices of pizza and one soda each for the same price as 1 slice of pizza and one soda each that they would get if they doubht the slices individually.

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