U4 L8 EQAO Prep (completed).notebook April 18, 2017

Transcription

1 Feb 17-9:02 AM 1

2 Graphing & Analytic Geometry Day 8: EQAO Prep Learning Goal: Students can apply their understanding of slope, rate of change, first differences, direct & paral variaon and raos. Feb 5-8:51 AM 2

3 EX. 1. A school is planning a car wash to raise $600. There will be 8 teams. Each team will wash 2 cars per hour. The car wash will last 5 1/2 hours. Each team will take two 15 minute breaks. How much should the school charge per car to raise exactly $600? a) $15.00 b) $7.50 c) $6.82 d) $6.25 Feb 17-9:00 AM 3

4 EX. 2. Two golf courses offer student memberships. Informa+on about the linear rela+onships between the total cost, C, in dollars, and the number of games played, n, at the two golf courses is given below. Which of the following statements correctly describe the two rela+onships? a) They are both direct varia+ons. b) The first is a direct varia+on, and the second is a par+al varia+on with an ini+al value of $17. c) The first is a par+al varia+on with an ini+al value of $10, and the second is a direct varia+on. d) The first is a par+al varia+on with an ini+al value of $10, and the second is a par+al varia+on with an ini+al value of $17. Apr 11-6:06 PM 4

5 EX. 3. Informa+on about four different linear rela+onships between C and n is shown below. How many of the linear rela+onships have a rate of change of 5? a) 4 b) 3 c) 2 d) 1 Feb 8-9:23 PM 5

6 EX. 4. The total cost to repair a fridge, C, in dollars, can be represented by the equa+on C = 60t + 30, where t is the repair +me in hours. Which of the following statements is true about this rela+onship? a) The hourly rate is $90. b) The fixed fee is $90. c) The hourly rate is $60, and the fixed fee is $30. d) The hourly rate is $30, and the fixed fee is $60. Feb 8-9:28 PM 6

7 EX. 5. Which of the following shows informa+on from a linear rela+on between C and n? a) b) c) d) Apr 11-6:26 PM 7

8 EX. 6. The total cost of yearbooks for a school is made up of a $375 set-up fee and $25 for each yearbook purchased. There is a linear rela+onship between the total cost and the number of yearbooks purchased. What type of varia+on is this rela+onship, and what is its ini+al value? a) direct varia+on, $375 b) direct varia+on, $25 c) par+al varia+on, $375 d) par+al varia+on, $25 Apr 11-6:29 PM 8

9 EX. 7. A local band pays $5000 to record its first album and $0.15 for each CD made. The band pays $7000 to record its second album and $0.10 for each CD made. How will the graph of the rela+onship between the total cost and the number of CDs made for the second album differ from the graph for the first album? The graph of the line for the second album will start... a)...lower on the ver+cal axis and be steeper. b)...higher on the ver+cal axis and be steeper. c)...lower on the ver+cal axis and be less steep. d)...higher on the ver+cal axis and be less steep. Apr 11-6:32 PM 9

10 EX. 8. The end points of line segment AB are A(3, -12) and B(6, k). What is the value of k if the slope of line segment AB is -2? a) -18 b) -6 c) 6 d) 18 Apr 11-6:35 PM 10

11 EX. 9. Informa+on about three different linear rela+onships between C, in dollars, and t, in hours, is shown. How many of the three rela+onships between C and t have a rate of change of $4 per hour? a) 0 b) 1 c) 2 d) 3 Apr 11-6:36 PM 11

12 EX. 10. A line passes through the point (6, 4) and has a slope of -1/2. Which of the following graphs represents this line? Apr 11-6:39 PM 12

13 EX. 11. A piece of paper is folded in half, which results in two layers of paper. Then the paper is folded in half again to make four layers, and so on. The number of layers and the number of folds are recorded in the chart. Determine whether this rela+onship is linear or non-linear. Circle one: Linear Non-linear Jus+fy your answer. You have the op+on of using the grid if you wish. Feb 9-12:50 PM 13

14 EX. 12. A school orders T-shirts from Terrific Ts. The total cost is made up of a set-up fee of $115 and a cost of $3 per T-shirt. Terrific Ts requires a minimum order of 25 T-shirts. The school can spend a maximum of $800. Determine all the possible values of the total cost, C, and the number of T-shirts, n, for this situa+on. Show your work. Apr 11-6:22 PM 14

15 EX. 13. Raisins and sunflower seeds are sold together in packages of 250 g. The ra+o of the mass of raisins to the mass of sunflower seeds is 3 to 5. Determine the mass of raisins in a package. Show your work. Feb 8-9:53 PM 15

16 EX. 14. Maddie enrolls in a fitness program. Her total cost is made up of a sign-up fee and a cost per class. The table below shows informa+on about her total cost, C, in dollars, when she adends n classes. What is the sign-up fee? Sign-up fee: Show your work. Is the rela+onships between the number of classes Maddie adends and her total cost a par+al varia+on or direct varia+on? Circle one: Par+al varia+on Direct varia+on Jus+fy your answer. Feb 9-12:53 PM 16

17 EX. 15. James adds vitamin drops to his fish tank to keep his fish healthy. If James follows the instruc+ons on the bodle of vitamins, how many capfuls should he add to a 350-litre fish tank? Show your work. Apr 11-6:53 PM 17