Section 1. State the equation of the line given the table of values: X Y First Differences What is the y-intercept of y= 2x-5

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1 Section 1 1 What is the -intercept of = State the equation of the line given the table of values: X Y First Differences What do the first differences tell ou about a relation? 8 You have $700 in our bank account and withdraw $40 a month. Write an equation. Include let statements. 3 State the slope of: 9 State the equation of 4 You have $700 in our bank account and withdraw $40 a month. How would the graph change if ou had $400 in our bank account? 10 Identif the vertical intercept if when ou bu a pizza it costs $10 plus an additional $2 per topping. 5 You have $700 in our bank account and withdraw $40 a month. How would the graph change if ou withdrew $30 a month? 11 Draw a possible graph of someone who is walking to school at a constant rate, stops to talk to their friend and then realizes the are late and starts to run picking up speed as the do so. 6 Calculate the slope of PQ if P(-2,-3) and Q(5,-4) 12 C=250+30p, where C represents the cost of the hall in $ and p represents the number of people attending. What does the point (50, 1750) mean in the contet of this question.

2 Section 2 13 Complete the table of values if P varies directl with t. t P State the equation of the line given the table of values: X Y First Differences Identif the linear relation =1- as partial or direct. 20 What does the rate of change mean in the contet of this question? C=250+30p, where C represents the cost of the hall in $ and p represents the number of people attending. 15 State the -intercept of: 21 Identif the linear relation as partial or direct. 16 Identif the -intercept if Barbara is paid $10 per hour to babsit. 22 What does the vertical intercept mean in the contet of this question? C=250+30p, where C represents the cost of the hall in $ and p represents the number of people attending. 17 What is the slope of a horizontal line? 23 Identif if the equation C=50p is a direct or partial variation. 18 Complete the table of values if C varies partiall with n. n C Write an equation. Include let statements. To rent a car for the weekend costs $40 plus $0.20/km.

3 Section 3 25 Graph = 3+4 b creating a tov for =-3 to =1 31 Graph = +1 b creating a tov for =-3 to =3 26 Is G= d partial or direct variation? 32 To rent a car for the weekend costs $40 plus $0.20/km. If it cost $0.30/km, how would the graph change? 27 What does the slope mean in the contet of this question? 33 To rent a car for the weekend costs $40 plus $0.20/km. Fill in the table of values for: Distance Cost State the equation of the line given the table of values: Distance Cost of Tai First Differences 34 State the equation of the line given the table of values: # of people Cost of banquet First Differences 29 Calculate the slope of PQ if P(-3,5) and Q(-2,12) 35 What is the slope of a vertical line? 30 Calculate the slope of AB if A(2,5) and B(2,9) 36 Identif the slope of =2+3

Section 4 37 C=15h+50 where C is the cost for the skiing in $ and h is the number of hours spent skiing. What does the rate of change mean in the contet of this question?

4 Section 4 37 C=15h+50 where C is the cost for the skiing in $ and h is the number of hours spent skiing. What does the rate of change mean in the contet of this question? 43 State the equation of the line given the table of values: Sales, S ($) Salar, s ($) Complete a table of values where is between 2 and 2 for = Which interval on the graph is the person going the fastest. Eplain our reasoning. 39 Calculate the slope of EF and interpret its meaning: 45 Calculate the rate of DE and interpret its meaning. 40 What does the vertical intercept mean in the contet of this question? Blue Mountain charges $15/hour for lessons and $50 for the lift ticket and snowboard rental. 46 Sketch the graph that is described. Begin 5 metres from the sensor. Walk towards the sensor for 6 seconds at a stead rate of 1 metre in 2 seconds. Stop for 5 seconds. Run back to our starting position at a stead rate of 1 metre per second. Stop. 41 Arcadia charges plaers a $15 admission fee to their gaming centre and charges each plaer $5 per game. Write an equation to model the cost of plaing games at Arcadia. Include let statements. 47 What is the difference between slope and rate of change? 42 Graph the scenario: A plumber charges $80 to come to our house plus $50 a hour. 48 State 4 was that a mathematical relation can be described (Rule of Four).

5 Section 1 Answers: = linear or non-linear 8 B=700-40m, B rep $ left in account and m rep # months 3 slope= 1/6 9 =(-1/25)-5 4 lower vertical intercept less steep /7 12 cost is $1750 for 50 people

6 Section =20 t P partial variation 20 it costs $30 per person partial variation 16 -int=0 22 the initial cost to rent the hall is $ slope=0 23 direct variation C=40+0.2d, Let C rep cost in $ and let d rep # of km travelled n C

7 Section partial variation 32 more steep 27 rate of change of height in m/min 33 Distance Cost C=0.4d C=100+15p 29 slope=7 35 undefined 30 undefined 36 slope=3

8 Section 4 37 Costs $15/hour to ski 43 S=0.02s EF steepest slope m/min is the speed 45 0 m/min stopped 40 the initial cost is $ C=15+5g, Let C rep cost in $ 47 Slope is simplified fraction with no units ie. 3/4 and let g rep # games plaed Rate of change has units ie. 0.75m/s

2. Does each situation represent direct variation or partial variation? a) Lily is paid $5 per hour for raking leaves.

2. Does each situation represent direct variation or partial variation? a) Lily is paid $5 per hour for raking leaves. MPM1D Date: Name: Relating Linear Equations, Graphs and Table of Values 1. Alan works part-time at a gas station. He earns $10/h. His pay varies directly with the time, in hours, he works. a) Choose appropriate