Pre-Algebra—I can graph proportional relationships, interpreting the unit rate as the slope of the
graph.
HW 7-1
Name: _______________________________________ Date: __________________ Period: __________
Homework 7-1
Write the ratio to represent each situation in simplest form
1. 3 out of 12 people
live in a rural area
2. 70 homes out of 125
have a personal
computer
3. In one class, there
are 6 girls for every
10 boys
Find each unit rate.
4. A skydiver falls 144 ft in 3 seconds
6. A car travels 676 mi in 13 hr
5. A pump moves 42 gal in 7 minutes
7. 20 cups of water evaporate in 3 days
Compare each unit rate and determine which is the better deal.
8. AT&T charges $76.00 for 500 minutes or Sprint charges $54.00 for 450 minutes
9. 1.5 pounds of Fiji apples for $29.85 or 1.2 pounds of Granny Smith apples for $20.28
10. A Hummer that gets 300 miles on 20 gallons of gas or a Camry that gets 495 miles on 15 gallons
of gas.
11. A 2 liter bottle of Coke for $1.39 or a 12 pack of 12 ounce cans of Pepsi for $3.49
(Hint: 2 liters = 67.63 ounces)
Convert each unit rate using dimensional analysis.
12.
13.
14.
15.
720 m/day = _________ m/min
1.5 gal/min = _________ qt/min
32 yd/min = __________ in/sec
0.85km/sec = __________ m/min
Use ratios and unit rates to solve each word problem.
16. Anna and Julia each take a bicycle trip. Anna rides 20 miles in 1 1/3 hours. Julia rides 246miles in
16 hours. Which rider has the slower unit rate? By how much?
17. A student converts 100 ft/min to 500 in/sec. Use dimensional analysis to explain why the
student’s result is not reasonable.
18. What is the rate in feet per minute of a car that is traveling at 68mi/hr on an interstate freeway?
Pre-Algebra—I can graph proportional relationships, interpreting the unit rate as the slope of the
graph.
HW 7-1