Algebra Test 2: PAP Free Response

Master linear function word problems! Learn to model real-world situations and identify key variables.

1. A 20-gallon bathtub is draining at a rate of 2.5 gallons per minute. The number of gallons remaining is a function of the number of minutes. a. Write a function model, G(m), that represents the remaining gallons after m minutes. b. How long will it take to drain the bathtub? 8 minutes c. Identify the independent and dependent variables in the situation. Dependent: gallonsIndependent: minutes d. Is this function continuous or discrete? continuous discrete e. What is a reasonable domain for this scenario? f. What is a reasonable range for this scenario? 2. Garrett is 11 years old and has a piggy bank that he wants to fill. He started with 5 one dollar bills. Every Saturday, he earns 3 more one dollar bills for chores he's completed. a. Write a function model, M(x),that represents the total number of one dollar bills Garrett will have in x weeks. b. How many one dollar bills will he have by the end of 10 weeks? 35 one dollar bills c. Identify the independent and dependent variables for this situation. Dependent: moneyIndependent: weeks d. Is this function continuous or discrete? continuous discrete e. What is a reasonable domain for this scenario? f. What is a reasonable range for this scenario?