Part A Brittany gives the lunch lady $10 for a slice of pizza. She receives $7 back. How much did the slice of pizza cost?
cost of slice
(Note: Use numeric values ONLY)
Part B
Susie wants to buy 5 slices of pizza and a liter of soda that costs $5 for her and her friends. How much money does Susie need?

$3 per slice

part b:

5x3=15 fir pizza. add $5 for soda, and the total is $20

A) $3

B) $20

Step-by-step explanation:

First, find the cost of the pizza slice.

If she gave the lunch lady $10 and received $7 back, the pizza slice was $3.

This cost would give her $7 from the $10 that she paid.

Now, find how much money Susie needs.

Since each pizza slice is $3, we can find how much money the pizza will cost by multiplying 5 by 3:

5(3)

= 15

Add 5 to this, since the soda is $5

15 + 5

= 20

So, Susie will need $20

The maximum is at point 5,0

Step-by-step explanation:

These graphs are set up so that one of the intersection points is going to give you either a maximum or a minimum.

The first thing you have to do is graph the 4 constraints. I use a graphing program like desmos.

Put your 4 equations in from top to bottom. The quadrillateral defined by the intersect points I have labeled and 0,0 define the area that contains the intersect points of the 4 graphs.

Now take the intersect points and show the calculations for C

C = 6x - 4y

Point (0,0)

C = 6*0 - 4*0

C = 0

Point (0,3)

C = 6(0) - 4*3

C = - 12

Point (1.5,3.5)

C = 6*(1.5) - 4*(3.5)

C = 9 - 14

C = - 5

Point (5,0)

C = 6*(5) - 4*(0)

C = 30

The maximum is produced from point 5,0