Homework Packet Week #3
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1 All problems with answers or work are examples. Section 1.1 Homework Packet Week #3 Section 1.2 Determine the independent and dependent quantities in each scenario. 1. Gavin works for a skydiving company. Customers pay $200 per jump to skydive in tandem skydives with Gavin. 4. Each pair of graphs has been grouped together. Provide a rationale to explain why these graphs may have been grouped together. Graph A Graph B. Choose the graph that best models each scenario. 2. Janelle holds a raffle to raise money for a children s hospital. Participants who enter the raffle guess the number of peanuts in a jar. Janelle records the number of peanuts each participant guesses and the number of peanuts their guess is off by. Graph A Graph B Graph C Determine whether the graph is discrete or continuous. 5. Label the axes of the graph that models each scenario with the independent and dependent quantities. 3. Zachary enjoys hiking. On the first day of his latest hiking trip, he hikes through flat terrain for about 8 miles. On the second day, he hikes through very steep terrain for about 3 miles. On the third day he hikes through some hilly terrain for about 6 miles.
2 Determine if each graph represents a by using the Vertical Line Test. 6. Section 1.3 Rewrite each using notation. (17-18) 9. Rewrite the using notation so that the dependent quantity, defined as C, is a of the independent quantity r. Choose the graph that represents each. Use your graphing calculator. (19-20) Determine whether each graph represents a with an absolute minimum, an absolute maximum, or neither Graph A Graph B Graph C Determine whether each graph represents a linear, a quadratic, an exponential, a linear absolute value, a linear piecewise, or a constant. 8. Determine whether each graph represents an increasing, a decreasing, a constant, or a combination of increasing and decreasing s. 11.
3 Section 1.4 Create an equation and sketch a graph for a with each set of given characteristics. Use values that are any real numbers between and Create an equation and sketch a graph that: has a maximum, is continuous, and is a linear absolute value. Section 2.1 Identify the independent and dependent quantities in each problem situation. Then write a to represent the problem situation. (15-17) 15. Nathan is riding his scooter to school at a rate of 6 miles per hour. 16. Sophia is walking to the mall at a rate of 3 miles per hour. 17. Mario is stuffing envelopes with invitations to the school s Spring Carnival. He stuffs 5 envelopes each minute. 13. Create an equation and sketch a graph that: is linear, is continuous, is neither increasing nor decreasing across the entire domain, and does not pass through the origin. Choose the family represented by each graph. (36-40) linear quadratic exponential linear absolute value linear piecewise Use each scenario to complete the table of values and calculate the unit rate of change. (18-20) 18. Miguel is riding his bike to lacrosse practice at a rate of 7 miles per hour
4 19. Jada is walking to school at a rate of 2 miles per hour Noah is stuffing envelopes with invitations to the school s Harvest Festival. He stuffs 4 envelopes each minute. Solve each for the given input value. The represents the total amount of money in dollars Carmen earns babysitting as a of time in hours Use the graph to determine the input value for each given output value. The represents the total distance traveled in miles as a of time in hours Identify the input value, the output value, and the rate of change for each. 21. Belinda is making greeting cards. She makes 4 cards per hour. The represents the total number of cards Belinda makes as a of time. 22. Owen is riding his bike to his friend s house at a rate of 6 miles per hour. The represents the distance Owen rides as a of time Rochelle is shopping for earrings. Each pair of earrings costs $15 dollars. The represents the total cost of the earrings as a of the number of pairs of earrings Rochelle buys.
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