1. Corey used the following table when making iced tea. Iced Tea Ingredients

Transcription

1 1. Corey used the following table when making iced tea. Cups of Water Iced Tea Ingredients Tea Bags Which equation shows the relationship between the number of cups of water (x) and the number of tea bags needed (y)? A y = 2x + 1 B y = 2x + 5 C y = x + 2 D y = x Which equation represents the data in the table? n C A C = 3n + 40 B C = 3n 40 C C = 3n 100 D C = 3n + 100

2 3. The table below shows the prices a company charges for basketball trophies. Basketball Trophy Prices Number of Letters (x) Price (y) 0 $ $ $ $ $4.30 Each price depends on the number of letters (x) to be engraved. Which equation models the price (y) of a trophy with x letters? A y = x B y = 3.90x C y = x D y = x 4. Which linear equation best represents the data in the table shown below? A y = 1/2x B y = x 1 C y = 2x 3 D y = 2x + 5 x y

3 5. The following table represents C, an appliance repairman s charges based on t, the hours it takes to make a repair. Appliance Repair Total Charges Which of the following equations could be used to determine the repairman s charges for a repair? A C = 35t + 40 B C = 40t + 35 C C = 75t D C = 45t t (hours) C (dollars) Which of the linear equations below is derived from the following table of values? A y = x + 4 B y = 2x + 7 C y = x + 4 D y = 3x + 2 x y

4 7. Which of the following linear equations is derived from the table of values below? A y = 3 4 x + 3 B y = 3 4 x 3 C y = 4 3 x + 4 D y = 4 3 x 4 x y Look at the table. A y = 5x + 3 B y = 5x 37 C y = 5x 87 D y = 1 5 x x y

5 9. Ski rentals are $100 plus $18 per hour, as shown in the table below. Ski Rentals Time (in hours) Rental Cost 1 $118 2 $136 3 $154 4 $172 A Write an equation that represents this data using function notation. Let x represent the time in hours and f(x) represent the rental cost. B What would be f(6)? Show your work. C If f(x) = 235, what is x? Show your work. Be sure to label your responses A, B, and C.

6 10. The table below shows how y varies indirectly with x. Which is the correct equation that shows the inverse variation between x and y? A y = x + 24 B y = 24x C y = x 24 D y = 24 x x y Which table shows a linear relationship? A x y B x y C x y D x y

7 12. Use the table below to answer the following question. x y A y = 3x + 5 B y = 3x 5 C y = 3x 5 D y = 3x Use the table below to answer the following question. X Y Which equation is represented by the data in this table? A f(x) = x + 3 B f(x) = x 8 C f(x) = 3x 4 D f(x) = 6x + 2

8 14. Ray charges $25 to mow a lawn plus $10 per hour to weed gardens. A Mr. Ortega wants to have his lawn mowed and his garden weeded. Copy the table below in your answer document. Fill in the table and show the total cost that Mr. Ortega would have to pay Ray for each of the times listed. Ray s Costs Hours of Weeding Total Cost in Dollars (lawn and garden) B Write an equation that represents how much it will cost, C, for Ray to mow a lawn and do h hours of weeding. C Write an inequality that shows how many hours of weeding Mr. Ortega can receive if he wants to spend no more than $82. D Solve the inequality you wrote in Part 3 to find how many full hours Mr. Ortega can receive. Show your work or explain your answer. Be sure to label your responses A, B, C, and D.

9 15. A tiling contractor charges a $ set-up fee and $20.00 per square foot of tile installation. A Write an equation that he could use to determine the price to charge his customers if a is the number of square feet to be tiled and C is the cost. B Copy the table below into your answer document. Complete the table. Cost of Tiling Square Footage (a) Cost (C) C On the grid provided in your answer document, graph the y-intercept and one other coordinate pair. Draw a straight line through the points. Be sure to label your axes and give a title to your graph. D Explain changes to the slope and y-intercept, if any, if the contractor raised the price per square foot to be tiled. Be sure to label your responses A, B, C, and D.

10 16. Which table, showing the distance that four different cars traveled during a four-hour period, demonstrates a linear relationship between time and distance? A Time (hours) Distance Travelled (miles) B Time (hours) Distance Travelled (miles) C Time (hours) Distance Travelled (miles) D Time (hours) Distance Travelled (miles) The table below shows a relationship between the total cost of purchasing books through a book club and the number of books purchased. Total Cost in Terms of Books Purchased What is the function s independent variable? A $10 B $15 C cost of the club D number of books purchased Books Purchased, x Cost, y $10 $25 $40

11 18. Which table relates to a linear function? A x y B x y C x y D x y

12 19. Which table demonstrates that monthly cell phone charges are a linear function of the number of minutes used? A Minutes Used Monthly Charge B Minutes Used Monthly Charge 0 $ $ $ $ $ $ $ $40.00 C Minutes Used Monthly Charge D Minutes Used Monthly Charge 0 $ $ $ $ $ $ $ $34.00 Go to Arkansas apr 2007 part II B

13 20. Maria is buying school pictures. The basic package is $50 plus $3 for additional wallet-size pictures. The equation to find her total bill is n = c, where n = number of additional wallet-size pictures needed, and c = total cost. A Copy the table below into your answer document. Complete the table. n c B On the grid below, graph the coordinates from the table. Does the graph show a function or non-function relationship? Explain your answer. Be sure to label your responses A and B.

14 21. At Scott s Bait and Tackle Shop, there is a fixed rental charge for each hour the supplies are used, as shown in the table below. Time in Hours Rental Cost X? Which represents the data above using function notation? A f(x) = x + 5 B f(x) = 5x + 0 C f(x) = 5x + 5 D f(x) = 5x + 4

15 22. Use the table below. Skating Arena Charges A skating arena employee recorded the number of skaters in each party and the total cost to skate. Using the table above, what is the total cost to skate for a party with 13 skaters? A $35.50 B $40.00 C $42.25 D $45.50 Number of Skaters Total Cost 4 $ $ $ $ $39.00

16 23. The table below shows the cost of renting a raft from Ark River Trips. Raft Rental Costs The pattern continues. What would be the cost to rent a raft for 7 hours? A $122 B $140 C $148 D $154 Hours Cost 2 $50 3 $68 4 $86 5 $104

17 24. The data in the table below show the cost of renting a bicycle by the hour, including a deposit. Renting a Bicycle Hours (h) Cost in Dollars (c) If hours, h, were graphed on the horizontal axis and cost, c, were graphed on the vertical axis, what would be the equation of a line that fits the data A c = 5h B c = 1 5 h + 5 C c = 5h + 5 D c = 5h Some ordered pairs for a linear function of x are given in the table below. Which of the following equations was used to generate the table above? A y = 2x + 1 B y = 2x 1 C y = 3x 2 D y = 4x 3 x y

18 26. The table below shows values for x and corresponding values for y. x y Which of the following represents the relationship between x and y? A y = 1 7 x B y = 7x C y = x 6 D y = x Michelle read a book review and predicted that the number of girls who will like the book will be more than twice the number of boys who will like the book. Which table shows data that support her prediction? A Number Who Liked the Book C Number Who Liked the Book Boys 35 Boys 70 Girls 40 Girls 25 B Number Who Liked the Book D Number Who Liked the Book Boys 35 Boys 40 Girls 80 Girls 40

19 28. Look at the table below. x y Which of these equations describes the relationship between the x-values and the y-values? A y = 2x 5 B y = x + 2 C y = x + 5 D y = 5x 2

20 29. In a recipe for spice cake, the ratio of flour to milk is 3 to 1. Which of these tables shows the correct amount of flour and milk needed to make more than one spice cake? Spice Cake Ingredients Spice Cake Ingredients A Flour Milk C Flour Milk Spice Cake Ingredients Spice Cake Ingredients B Flour Milk D Flour Milk