U3 N8 - Rate of Change / Slope Practice

Fill in the correct vocabulary using your notes from today. The rate of change is the same thing as slope, but in a real-world context. Rates of changes from graphs. Match the graph with its rate of change. m = -3 m = 5 m = - 4 m = 7 A homeowner ran a new generator and measured the depth of gasoline in the tank hourly. The tables shows the data. What is the rate of change? The rate of change is -5.This means the generator uses 5cm of gas every 1hour(s). You use a garden hose to fill a circular wading pool that is 81.4 cm deep. You measure the depth of the water in the pool every 2 minutes. The table shows the data.What does the rate of change mean for this situation? This is the number of minutes until the pool is full for each centimeter of water added. This is the depth of water the garden hose adds to the pool each minute. This is the number of minutes needed to add each centimeter of water to the pool. This is the depth of water needed to fill the pool for each minute. A bakery uses a large bin to feed flour to the bread-making machines. One day, a worker measures the depth of flour in the bin every 2 minutes. The table shows the data. a. The rate of change for the depth of the flour is -1.7. (Give answer as a decimal not a fraction)b. This means the depth of flour is decreasing by 1.7 every 1 minute. A climber is on a hike. After 2 hours, he is at an altitude of 400 feet. After 6 hours, he is at an altitude of 700 feet. What is the hikers rate of change and how would you describe its meaning in this real-world problem? A 5 mile cab ride costs $36. A 7 mile cab ride costs $48. Find the rate of change (cost per mile) for the cab ride and describe its meaning in this real-world problem?