Graphs of Relationships between Two Variables
Use this scenario to answers questions #1 through #3. A car is traveling across the Midwestern states via Interstate 70. The speed limit is 65MPH. The equation to represent the relationship between the distance the car travels and the time traveled is d = 65 t. Study the table and graph below that was created in Excel and answer the questions.
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Use this scenario to answers questions #4 through #6. A truck driver hauling freight travels at an average rate of 55 miles per hour. He can travel 8 hours before he rests. Make a bar graph using a spreadsheet program and its Chart Wizard. Show the number of miles he totals after each hour of travel up through 8 hours. After completing the graph, answer the following questions.
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Rates of Change
Use this scenario to answer questions #7 and #8. Danny and Shelly plan to save money for 20 weeks. Danny is going to add $5 to his savings account every week. Shelly is going to put $30 in the first week, and then alternate, putting $2 in the next week, followed by $5 the week after, and then start the savings pattern over again. The table and graph below records the data for 20 weeks.
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10) Katie is renting a cabin to stay with some friends for the weekend. It costs flat rate $300.00 for the cabin, but then there is an addition charge of $15.00 a person. Write an equation that shows the relationship between the number of friends and the total cost.
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11) Using the equation from the previous problem, how much would it cost if there was 5 people staying in the cabin?
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12) Justin is trying to save up for a car. Right now he has $550.00 in his savings. He plans to add $50.00 every week. Write an equation that shows the relationship between the number of weeks and the total amount in his savings account.
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13) Use the information from the previous problem. If Justin wants to save $5,000.00, how many weeks will it take him?
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Inequalities
For problems #14 through #19, select solutions from the “whole numbers”.
Whole numbers = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 …}
Solve these inequalities. List the answers or describe the set of answers.
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14) n + 5 < 13
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15) t + 3 > 4
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16) k – 4 > 2
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17) p – 6 < 4
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18) 4m < 28
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19) Alicia has $20 to spend. She is going to save $5 for the cinema. She wants to buy a toy for her sister and estimates that the tax will be $1. List all dollar prices that the toy could cost that would be in the range of Alicia’s money she has to spend on her sister’s toy.
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20) Find the volume and surface area for the cylinder. Label the answer appropriately.
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21) Find the volume and surface area for the rectangular prism. Label the answer appropriately.
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22) Click here to print out the table. Hiroshi was asked to organize a badminton tournament. Each team is made up of two players and each team will play every other team. Complete the following table for games played for various numbers of teams. Look for a pattern in the table and then fill in the blanks. State the letter and then the answer.
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24) Rewrite this expression using the distributive property, and then evaluate.
9 × (40 + 7)
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25) Click here to print out the coordinate plane. Graph these points in the coordinate plane. Connect the points with line segments in the order given. Reflect the shape across the x-axis. Name the polygon that is formed and state the number of sides that the polygon has.
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26) Write an equation for the diagram, and then solve.
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27) Write an equation for the diagram, and then solve.
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28) Solve the equation: y – 18.3 = 24
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30) If you were directed by your school to complete Offline Activities for this course, please enter the information on the Log Entry form. |
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