Name: Date: Teacher: ALG2 – WARM UP – 1/6/15 WED a) What does this line represent? b) X represents ______________ Y represents ______________ c) y-intercept: ( ___, ___ ) d) Find the Slope: m = y 2 y1 x2 x1 e) I have $_______ today (Day 0), and I add $_______ to my bank account every day. On Day 4, I have $__________ in my bank account. f) Money in my bank account (based on the day) The equation of this line is: y = _______________________ use y = mx + b Name: Date: Teacher: Your group members' names: _________________________________________________________________ GROUP QUESTION SHEET: Let's make a deal. Directions: • As a GROUP: ◦ Fill in the table with the Total Money you will have each day under Option 1 and Option 2 • As a GROUP: ◦ Discuss the questions #1-9 • As an INDIVIDUAL: ◦ Record your group's answers to #1-9 on your answer sheet Option 1 Option 2 $5,000 today (Day 0) and $100 every day after $1 today (Day 0) and your Total Money doubles every day Day (n) Total Money Day (n) Total Money 0 $5,000 0 $1 1 $5,100 1 $2 2 $5,200 2 $4 3 3 4 4 5 5 6 6 7 7 8 8 9 9 10 10 11 11 12 12 13 13 14 14 15 15 Name: Date: Teacher: Your name: _____________________________ Date: ______________Per: ___________ Your group members' names: __________________________________________________ INDIVIDUAL ANSWER SHEET: Let's make a deal. Option 1 Option 2 $5,000 today (Day 0) and $100 every day after $1 today (Day 0) and your Total Money doubles every day 1. After Day 0, we would choose Option ____ because: After Day 10, we would choose Option ____ because: After Day 14, we would choose Option ____ because: 2 and 4. Graphs of Option 1 and Option 2 (Choose your own scale. There are 45 boxes up, 84 boxes horizontal) 3. Option 1 Equation: Total Money1 = ______________________________________________ • Total Money on Day 100 under Option 1 is ____________. Day (n) Total Money from Table Total Money from Equation Name: Date: Teacher: 5. Option 2 Equation Total Money2 = __________________________________________________ • Total Money on Day 100 under Option 2 is ___________________________________. Day (n) Total Money from Table Total Money from Equation 6. The graphs of Option 1 and 2 intersect approximately at the point ( , ). 7. In the context of this problem, the point of intersection represents: 8. Option 1 Option 2 Option 3 (New!) $5,000 today and $100 every day after $1 today and your Total Money doubles every day $1,000,000 today and $100 every day after After Day 0, we would choose Option ____ because: After Day 14, we would choose Option ____ because: After Day 100, we would choose Option ____ because: 9. • Create an Option 4 that you will ALWAYS choose over Option 2 OR explain why it is impossible. • Create an Option 5 that is linear and that you will ALWAYS choose over Option 2 OR explain why it is impossible. Option 4 Option 5 Words: Words: Equation: Equation: