Ratios and Proportion

1
Ratios and Proportion
ALGEBRA 1 LESSON 4-1
Another brand of apple juice costs 1.56 for 48
oz. Find the unit rate. ( what does 1 ounce cost)
1.56 48oz. 0.0325 round to the nearest
cent.
The unit rate is approximately .03/oz.
4-1
2
You try

• Find the unit rate for the following
• A 62oz. can of pineapple juice costs 2.95.
  What is the cost per ounce?
• 2.95 .047580645
• 62oz.
• The unit rate is approximately .05 per ounce
• 675 buses
• 4 weeks
• 168.75
• The unit rate is approximately 169 buses per
  week.

3
Ratios and Proportion
ALGEBRA 1 LESSON 4-1
y 3
3 4
Solve .
y 4 3 3
4-1
4
You Try

• x 5
• 8 6
• x 6 5 8
• 6x 40
• 6x 40
• 6 6
• x 6 2/3

5
Ratios and Proportion
ALGEBRA 1 LESSON 4-1
w 4.5
6 5
Use cross products to solve the proportion
.
4-1
6
Ratios and Proportion
ALGEBRA 1 LESSON 4-1
In 2000, Lance Armstrong completed the 3630-km
Tour de France course in 92.5 hours. Traveling at
his average speed, how long would it take Lance
Armstrong to ride 295 km?
Traveling at his average speed, it would take
Lance approximately 7.5 hours to cycle 295 km.
4-1
7
You try

• Suppose you walk 2 miles in 35 minutes.
• a. Write a proportion to find how far you would
  walk in an hour if you were to continue at the
  same rate.
• 2 x
• 35 60
• b. Solve the proportion.
• 3.43 mi

8
Ratios and Proportion
ALGEBRA 1 LESSON 4-1
z 3 4
z 4 6
Solve the proportion .
6z 18 4z - 16
4-1
9
You try

• x 2 x
• 14 10
• 10(x 2) 14 x
• 10x 102 14 x
• 10x 20 14x
• -10x -10x
• 20 4x
• 4 4
• X 5