Vocab
Scale Factor
Ratio
Proportional Relationships
Constant Proportionality
100

What do you call a figure that is an enlarged or reduced version of another figure, where all lengths are multiplied by the same number?

Scale Copy

100

If a rectangle has a length of 4 cm and its scaled copy has a length of 8 cm, what is the scale factor?

2

100

If there are 2 red marbles and 5 blue marbles in a bag, what is the ratio of red marbles to blue marbles?

2 to 5

100

If 3 apples cost $6, how much do 6 apples cost, assuming the cost is proportional?

$12


100

If y=4x, what is the constant of proportionality?

4

200

What term describes the number that you multiply all dimensions of an original shape by to create a scaled copy?

Scale Factor

200

A triangle has a base of 5 inches. Its scaled copy has a base of 15 inches. What is the scale factor from the original triangle to the scaled copy?

3

200

A recipe calls for 3 cups of flour and 2 cups of sugar. What is the ratio of flour to sugar?

3:2

200

A car travels 60 miles in 1.5 hours at a constant speed. How far will it travel in 3 hours at the same speed?

120 Miles
200

A recipe uses 3 cups of water for every 2 cups of rice. What is the constant of proportionality when comparing the cups of water to the cups of rice?

3/2 or 1.5

300

What term describes a relationship where two quantities increase or decrease at the same rate, such as miles per hour or price per item?

Proportional Relationship

300

The side length of a square is scaled by a factor of 3 to create a new square. If the original square’s side length was 6 meters, what is the side length of the new square?

18 meters

300

In a classroom, the ratio of boys to girls is 4:3. If there are 12 boys, how many girls are there?

9

300

If 5 notebooks cost $10, what is the constant of proportionality that relates the cost to the number of notebooks?


$2 per notebook

300

In a table of values, if x=5 corresponds to y=15, what is the constant of proportionality?

3

400

What is the specific term for the ratio that describes how one quantity changes in relation to another in a proportional relationship?

Constant Proportionality

400

A photograph is reduced in size by a scale factor of 0.5. If the original photograph was 12 inches wide, how wide is the reduced photograph?

The reduced photograph is 6 inches wide.

400

A car travels 150 miles using 5 gallons of gas. What is the ratio of miles traveled to gallons of gas used?

30 to 1

400

A map uses a scale of 1 inch for every 10 miles. If two cities are 5 inches apart on the map, what is the actual distance between the two cities?

50 miles

400

A worker earns $120 for 8 hours of work. What is the constant of proportionality between the earnings and hours worked?

$15 per hour

500

What is the term for the ratio that represents the change in one variable relative to the change in another, often used in the context of linear functions?

Rate of Change

500

An artist makes a scale model of a sculpture where every dimension is scaled down by a factor of 1/4. If the height of the original sculpture is 20 feet, what is the height of the scale model?

The height of the scale model is 5 feet.

500

The ratio of cats to dogs in a pet shop is 7:5. If there are 35 cats, how many dogs are there?

25

500

The amount of paint needed to cover a wall is directly proportional to the area of the wall. If 2 gallons of paint are needed for 300 square feet, how many gallons are needed for 450 square feet?

30 gallons

500

A car travels 180 miles in 3 hours at a constant speed. What is the constant of proportionality between the distance traveled and the time?

60 miles per hour

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