NAME _____________________________________________ DATE ____________________________ PERIOD _____________ Lesson 1-7 to 1-9 Review ws Lesson 7 Problem-Solving Practice- Constant Rate of Change 1. WATER At 2 P.M., the level of the water in the pool was 10 feet. At 6 P.M., the level of water was 2 feet. Find the constant rate of change of the water. 2. MONEY JoAnne is depositing money into a bank account. After 3 months there is $150 in the account. After 6 months, there is $300 in the account. Find the constant rate of change of the account. 3. TEMPERATURE The temperature at noon was 88°F. By 4 P.M., the temperature was 72°F. Find the constant rate of change of the temperature. 4. GROWTH Jaz was 43 inches tall. Eighteen months later, she was 52 inches tall. Find the constant rate of change for Jaz’s height. 5. BIKING The graph represents how far Toby biked given the number of weeks he has been biking. Find the constant rate of change. 6. HAIR Find the constant rate of change. Months 4 5 6 7 Length (in.) 8 10 12 14 NAME _____________________________________________ DATE ____________________________ PERIOD _____________ Lesson 8 Slope- Review 1. GO-KARTS The graph shows the average speed of two go-karts in a race. What does the point (2, 20) represent on the graph? What does the point (1, 12) represent on the graph? What does the slope of each line represent? Which car is traveling faster? Slope of Kart X:________________ 2. SKATEBOARDING The line represents the length and height of a skateboard ramp. Find the slope of the ramp. Slope:________________ Slope of Kart Y:________________ What it means: ___________________ Which Kart is faster?______________ How much faster?_______________ 3. RAISINS The table shows the number of packages of raisins per box. Graph the data. Then find the slope of the line. Explain what the slope represents. Boxes 1 2 3 4 Packages 20 40 60 80 4. RESORT The Snells can spend 4 nights at a resort for $500 or 6 nights at the same resort for $750. Graph the data. Then find the slope. Explain what the slope represents. Slope?________________ Slope:________________ What it means: ___________________ What does it represent?________________ NAME _____________________________________________ DATE ____________________________ PERIOD _____________ Lesson 9 Reteach and Practice - Direct Variation- Part 2 Determine whether each linear function is a direct variation. If so, state the constant of proportionality and write the equation. 10. CAT FOOD Loretta paid $6.70 for 5 cans of cat food and $10.72 for 8 cans of cat food. How much did 1 can of cat food cost? Direct variation? ___________________ What is the Constant of Proportionality? _____________ y=__________________ x=_______________ What is the Equation?_____________________ 11. DUNE BUGGY Beach Travel rents dune buggies for $50 for 4 hours or $75 for 6 hours. What is the hourly rate? Direct variation? ___________________ What is the Constant of Proportionality? _____________ y=__________________ x=_______________ What is the Equation?_____________________ Challenge Questions! If y varies directly with x, write an equation for the direct variation. Then find each value. 12. If y = –4 when x = 10, find y when x = 5. What is the Constant of Proportionality? _____________ What is the Equation?_____________________ What is the Value of y when x=5? _____________________ 13. If y = 12 when x = –15, find y when x = 2. What is the Constant of Proportionality? _____________ What is the Equation?_____________________ What is the Value of y when x=2? _____________________ 14. If y = 9 when x = 8, Find y when x = 18. What is the Constant of Proportionality? _____________ What is the Equation?_____________________ What is the Value of y when x=8? _____________________
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