1. Quick Start Expectations 1. Pick upweek 19 and Fill in planner and HWRS HW: MSA Pg. 18-23, #6-9, 24 2. Get a signature on HWRS 3. LF turn in all HWRS week 18 On desk: journal, textbk, calculator, Vocab toolkit Warm Up: Find the unit rate and use it to write an equation relating the two quantities: a)150 dollars for 50 t-shirts b)62 dollars to rent 14 video games c)18 tablespoons of sugar in 3 glasses of Bolda Cola Focus Questions: What is the pattern of change in a linear relationship?

2. y = mx + b

3. dependent variable independent variable slope y-intercept

4. Add Dependent Variable and Independent Variable to your Vocabulary Toolkit p. 11

5. p. 12

7. Labsheet 1.3 Pg. 12-13, A-C

8. Independent Variable Distance = X Dependent Variable $ = Y What is the starting point for each student? This is also called the y-intercept. What is the rate of change for each student? This is also called the slope.

9. What is the starting point for each student? This is called the y-intercept. What is the rate of change for each student? This is called the slope. What does the point (6,12) represent? Whose line is it on? Whose line are these points on? (10,10) (6,8) What is the starting point for each student? This is called the y-intercept. What is the rate of change for each student? This is called the slope. What does the point (6,12) represent? Whose line is it on? Whose line are these points on? (10,10) (6,8)

10. Alana: y = 0.50x + 5 Gilberto: y = 2x or y = 2x + 0 Leanne: y = 0x + 10 or y = 10 y = money earned in dollars x = distance walked in km The coefficient (the number in front of the variable) represents the walking rate. y = money earned in dollars x = distance walked in km The coefficient (the number in front of the variable) represents the walking rate.

11. Alana: as (x) increases by 1 km, (y) increases by $0.50 Gilberto: as (x) increases by 1 km, (y) increases by $2 Leanne: as (x) increases by 1 km, (y) has no change In other words: As x goes up by 1, what happens to y?

12. Equation: the pattern of change is the coefficient of x Alana: y = 0.50x + 5 Gilberto: y = 2x Leanne: y = 0x + 10 Graph:

13. In a table: as x increases by 1, y changes by a constant amount In a graph: there is a straight line In an equation: it follows the form of y = mx + b The relationship between money and distance walked for… Gilberto is proportional! It is NOT proportional for Leanne and Alana because sponsors donate an initial amount in addition to money donated per kilometer. This makes the ratio of money donated to kilometers walked not a constant.

14. Alana: $5 + 0.5(8km) = $9 Gilberto: $2(8km) = $16 Leanne: $10 per sponsor no matter how far she walks

15. Alana: $5 + 0.5(?km) = $10, so 0.5 x 10 km = 5 Gilberto: $2 x ? km = $10, so 10/2 = 5 km Leanne: Can’t determine!

16. (12, 11) lies on Alana’s graph. If Alana walks 12km, each sponsor donates $11. When her distance is zero, she already has $5 (0, 5) it is the starting point, or y-intercept! 5 is the term added to 0.5x

17. y = 2x – $4.75 Amount of $ Gilberto raises from each sponsor after he has paid for the T-shirt. Constant rate of change $2 Amount subtracted for each t-shirt km walked

18. This graph starts at (0, -4.75), the other was (0,0) Both graphs have the same steepness (slope). For every value of x, the y-coordinate of a point on this graph is exactly 4.75 less than the y-coordinate on the other graph. Yes, it is linear. There is a constant rate of change, and it is a straight line.

19. HW: MSA p. 16-26 #6-9, 24