Name Date Solving Equations and Inequalities with Two Variables: Discovering Slope Independent Practice 1. Jeff Mordon drives 140 miles in 4 hours. Part A: What is his rate of change? Part B: Represent the situation on the graph below. 2. Claire and Rachel play volleyball for different teams. Claire s team practices 7 hours every two days and Rachel s team practices 8 hours every three days. Match each player to the graph that represents the average number of hours that they practice each day over a 7-day period. o Claire o Rachel o Claire o Rachel
3. Steve is trying to increase his average pace per mile by running hills. The hill on 1 st Avenue rises 3 vertical feet for each horizontal foot. The hill on 16 th Avenue rises 1 vertical foot for every 3 horizontal feet. Which hill will be more difficult for Steve to run up? Explain your reasoning. 4. The following graph represents the amount that Camila and Lydia charge for their babysitting services. Charge for babysitting Number of hours babysitting Which of the following statements are true? Select all that apply. o The rate of change of each line represents the amount each girl charges per hour for her babysitting services. o Lydia s rate of change is greater than Camila s rate of change. o Lydia s rate of change is $7 per hour. o Camila charges $35 for 5 hours of babysitting services. o Lydia charges $14 for 2 hours of babysitting services.
5. Keon and Lesha are comparing their daily caloric intake. Each day, Lesha chooses healthy snacks such as apples and carrots while Keon chooses snacks like chips and candy. Part A: Draw a graph that could represent Keon s and a graph that represents Lesha s caloric intake based on the number of snacks they eat, labeling each line and the axes. Part B: What does the rate of change for each line represent? Part C: What is Lesha s rate of change? Part D: How does Lesha s rate of change compare to Keon s rate of change? Why are the two rates different from one another?
6. Steve repairs elevators. When he is called to a job he uses the stairwell to go to the floor on which the elevator is located. In the Modis building, he climbs 22 steps for every 15 feet of horizontal travel. In the Sears tower, he climbs 17 steps for every 7 feet of horizontal travel. Part A: What is the rate of change for each stairwell? Part B: Which stairwell will be easier to climb? Explain your reasoning. 7. J.K. Rowling and R.L. Stine are both reading the Hunger Games. J.K. reads 35 pages every 2 hours and R.L. reads 45 pages every 3 hours. Part A: What is the rate of change for each reader? Part B: If the Hunger Games is 355 pages, who will finish the book first? 8. Jose drives 65 miles per hour when he travels. Sherry drives 450 miles in 9 hours. Which driver has a faster rate of change?
9. The following graph represents the money Matthew and Mitchell spend each hour Amount of Money Spent (in dollars) Hours Playing Video Games when they play video games at the local arcade. Which of the following statements are true? Select all that apply. o Matthew is spending his money at a faster rate than Mitchell. o The rate of change represents the money the boys spend per hour playing video games. o Mitchell spends $3 every hour he plays video games. o Matthew spends $5 every hour he plays video games.
10. Mrs. Cugini collected data on the hand span length and height of each of her Algebra 1 students. The graph below represents the scatterplot of the data for one class. Height of Students (in inches) Hand Span Length (in inches) Part A: What is the slope of the graph? Part B: What does the slope represent?