1. The school band sells carnations on Valentine's Day for $2 each. They buy the carnations from a florist for $0.50 each, plus a $16 delivery charge.

a. Write a system of equations to describe the situation.

A: y = 2x; y = 0.50x + 16.

b. Graph the system. What does the solution represent?

(Which x-values should I choose to graph the equations above so that they intersect?)

c. Explain whether the solution shown on the graph makes sense in this situation. If not, give a reasonable solution.

2. 6(x + 2) = -2(x + 10)
Can you explain how you solved this equation for the answer to be -4?

4 answers

1. b. It represents, how many carnations needed to be carnations: 11

y = 2x

x = 0
y = 0
x = 1
y = 2
x = 3
y = 6
x = 4
y = 8

(0,0); (1,2);

y = .50x + 16
x = 0
y = 16
y = 0
x = -32

(0, 16); (-32,0)

Intersect (10.67, 21.33)

c . No because the solution is not a sold to break even. Whole number of carnations.

2. 6x + 12 = -2x -20
6x +2x + 12 = -2x + 2x -20
8x +12 = -20
8x + 12-12 = -20-12
8x =-32
x = -4

check if -4 is solution?
6 (-4 +2) = -2(-4+10)

6(-2) = -2(6)
-12 = -12
True
Yes -4 is a solution for this equation.
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Fed to the rules and I hit the ground running
Didn't make sense not to live for fun
Your brain gets smart but your head gets dumb
So much to do, so much to see
So what's wrong with taking the back streets
You'll never know if you don't go
You'll never shine if you don't glow
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Never gonna run around and desert you
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Never gonna tell a lie and hurt you