Unit 4 Proportionality

Unit Rates

100

A shopper buys 5 pounds of potatoes for $3.95. What is the price per pound?

$0.79

200

A worker uses 450 inches of steel wire for 350 springs of the same size. At this rate, how many inches of steel wire are needed to make 1 spring?

1.5 inches

300

Imani is comparing different bottles of sunscreen. Her options are: 

20 ounce bottle for $20

15 ounce bottle for $11.25

10 ounce bottle for $6.50

What is the better buy?

10 ounce bottle for $6.50 has the lowest cost per ounce

Proportions

100

The ratio of boys to girls in Ms. Flagler's class is 2 to 3. If there are 18 boys in Ms. Flagler's class, how many girls are in the class?

27 girls

200

The number of almonds to M&M's in a bag of trail mix is 3:4. If there are 600 almonds in the bag, how many M&M's are there?

800

300

A recipe calls for 1/3 cups of sugar for 4 servings. How many cups are needed for 30 servings?

2.5 cups of sugar

Percent of a Number

100

Name two ways to solve for the percent of a number.

1. Part/Whole = %/100 and solve the proportion

2. Turn the % to a decimal and multiply

200

The manager of a coffee shop recorded how many customers ordered hazelnut coffee, vanilla coffee, and caramel coffee in one week. The results were:

Hazelnut- 10 

Vanilla- 23

Caramel- 17

What percentage of customers ordered vanilla coffee?

46%

300

The Adams family paid $210 for groceries. The family used a coupon for 20% off. What was the price the family paid after the coupon?

$168

Measurement Conversions

100

The distance between two towns is 120 kilometers. What is the distance in miles?

There are 8 kilometers in 5 miles. 

75 miles

200

A building has a height of 15 feet. What is the height of the building in meters?

There are 3.28 feet in one meter. 

4.57 meters

300

The length of a ruler is 12 inches. What is the length of a ruler in millimeters?

There are 25.4 mm in one inch. 

304.8 mm

Similarity

100

Mr. Ortiz used similar triangles to make a design. What statement must be true about the design?

a. The triangles must be the same size and same shape. 

b. They are the same size but different shapes.

c. The angles are congruent.

d. They have corresponding sides that are congruent.

c

200

Which TWO statements are true about similar figures?

a. Corresponding sides must be congruent

b. Opposite sides must be congruent

c. Corresponding angles must be congruent

d. Corresponding angles must be 90 degrees

e. Corresponding sides must be proportional

c, e

300

Figure JKLM is similar to PQRS. Which proportion must be true?

QR/QP = JK/LM

QR/KL = RS/JK

QR/MJ = PQ/LM

QR/KL = PS/JM

QR/KL = PS/JM