"Algebra 1: SIP 5"
Algebra 1: SIP 5 LINEAR FUNCITONS Activity 5-1H Name __________________________ Class Period ______ JET SKI RENTAL Maria and her family are vacationing at the lake for a week. They want to rent a jet ski. It will cost $25.00 for a deposit plus $45.00 per hour. 1. Make a table of values for this situation. Number of Hours Total Cost in Dollars Process 1 2 3 4 5 : : : h 2. Write a sentence in words and a function rule for the total cost (c) in dollars for renting the Jet Ski for (h) hours. 3. Create a scatterplot of the data, and then graph the linear function for that data. Label the axes appropriately. What is the slope (growth rate) of the line including units? What does the slope mean in this situation? What is the y-intercept of the line? What does the y-intercept mean? 4. If the family has only $250.00 to spend, then for how many hours can they rent the Jet Ski? 5. Maria went to rent the Jet Ski but she is not yet 18. The deposit for someone under 18 is $75.00. Predict how the line that models your data will change for the increased deposit. What did not change? After you have made predictions, check yourself by graphing the function. You may want to make a table to make your graphing easier. What is the slope (growth rate) of the line including the units? What does the growth rate mean in this situation? What is the y-intercept of the line? What does the y-intercept mean in this situation? 6. In the original problem, the company charged a $25 deposit and an hourly rental rate of $45. The company may decide to change the rental cost to $50 per hour and keep the deposit at $25.00. Predict how the graph of the line that models this situation will change.