1. 3x + 2y = 36 Ordered Pairs Part 2
In a high school girls basketball team, one team scored 36 points but never hit a free throw. They only made 2 or 3 point goals. How many different solutions are there if you used the following expression to model their team scoring.
3x + 2y = 36

2. Answer
3x + 2y = 36 There are seven: (0,18), (2, 15),(4,12), (6.9), (8,6), (10, 3), and (12,0) All these ordered pairs are solutions to the equation.

3. COMMON CORE #11
Understand that a function is a rule that assigns to each input exactly one output. The graph of a function is the set of ordered pairs consisting of an input and the corresponding output.

4. Is the Ordered Pair a Solution to the Equation?
Is (2, 5) a solution of y = 3x + 2?
What can we do to check?
You can plug in the ordered pair to the equation and see if it is equal on each side.

5. y = 3x + 2 y = 3x + 2 Substitute (2,5) in 5 = 3(2) + 2
Work out each side
5 = 6 + 2
5 = 8
The answer is NO

6. What about (3, 11) y = 3x + 2 Substitute (3,11) in 11 = 3(3) + 2
Work out each side
11 = 9 + 2
11 = 11
The answer is YES

7. Lets Try Two More
Are the points (1, 5) and (-2, 7) solutions for the following equation:
y = 2x + 3
The point (1, 5) works but (-2, 7) is NOT a solution.

8. Board Examples
Lets have four volunteers come to the board and work one of the following problems:
y = 2x – 4
(1) (3, 2)
(2) (-4, 5)
(3) (6, 8)
(4) (2, 0)

9. Consumer Math Application
A plumbing company charges $50 for a service call and $15 per hour. Write an equation to model the situation and then find the cost for a 3 hour call.
Cost = $15 per hour + $50
C = 15h + 50
Now substitute in 3 for the h
C = 15(3) + 50
C =
C = 95 dollars
The ordered pair would be (3, 95)

10. PRACTICE PROBLEMS
Page 52
16, 18, 20, 22, 24 & 25
You will have to USE YOUR BRAIN on 25