Quick Start Expectations 1.Fill in planner and HWRS HW: MSA p. 18, #6-9, 23-25, 32 2.Get a signature on HWRS 3.On desk: journal, calculator, HWRS, pencil,

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Quick Start Expectations 1.Fill in planner and HWRS HW: MSA p. 18, #6-9, 23-25, 32 2.Get a signature on HWRS 3.On desk: journal, calculator, HWRS, pencil, pen 4.Warm Up:

Labsheet 1.3

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.

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)

Leanne: y = 0x + 10 or y = 10 Gilberto: y = 2x or y = 2x + 0 Alana: y = 0.50x + 5 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.

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 Graph: show pattern on graph… Equation: the pattern of change is the coefficient of x Leanne: y = 0x + 10 Gilberto: y = 2x Alana: y = 0.50x + 5

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.

Alana: $ (8) = $9 Gilberto: $2 x 8km = $16 Leanne: $10 per sponsor no matter how far she walks Alana: $ (?) = $10, so 0.5 x 10 km = 5 Gilberto: $2 x ? km = $10, so 10/2 = 5 km Leanne: Can’t determine!

(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

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

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.