1-7 to 1-9 Review ws

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? _____________________