M6 6.PFA.2 - Proportions

A car travels 150 miles in 3 hours. What is the unit rate of the car's speed in miles per hour?

• 45 miles per hour

• 50 miles per hour

• 55 miles per hour

• 60 miles per hour

Answer explanation

To find the unit rate, divide the total distance by the total time. 150 miles ÷ 3 hours = 50 miles per hour. Therefore, the car's speed is 50 miles per hour.

Tags

VA.6.PFA.2.a

A recipe requires 4 cups of flour for every 2 cups of sugar. If you have 6 cups of sugar, how many cups of flour do you need?

• 8 cups

• 10 cups

• 12 cups

• 14 cups

Answer explanation

The recipe ratio is 4 cups of flour for every 2 cups of sugar. With 6 cups of sugar, you can make 3 times the original amount (6/2=3). Therefore, you need 3 times 4 cups of flour, which equals 12 cups.

Tags

VA.6.PFA.2.b

In a school, there are 5 teachers for every 100 students. What is the unit rate of teachers to students?

• 1 teacher per 15 students

• 1 teacher per 20 students

• 1 teacher per 25 students

• 1 teacher per 30 students

Answer explanation

To find the unit rate, divide the number of students by the number of teachers. With 100 students and 5 teachers, 100 ÷ 5 = 20. Thus, the unit rate is 1 teacher per 20 students, making the correct choice 1 teacher per 20 students.

Tags

VA.6.PFA.2.a

A car travels 60 miles in 1.5 hours. What is the unit rate of the car's speed in miles per hour?

• 30 miles per hour

• 40 miles per hour

• 50 miles per hour

• 60 miles per hour

Answer explanation

To find the unit rate, divide the distance by the time: 60 miles ÷ 1.5 hours = 40 miles per hour. Thus, the car's speed is 40 miles per hour.

Tags

VA.6.PFA.2.a

A table shows that 3 apples cost $1.50. How much would 9 apples cost?

• $3.00

• $4.50

• $6.00

• $7.50

Answer explanation

To find the cost of 9 apples, first determine the cost per apple: $1.50 / 3 = $0.50 per apple. Then, multiply by 9: $0.50 x 9 = $4.50. Thus, the cost for 9 apples is $4.50.

Tags

VA.6.PFA.2.b

A cyclist travels 90 miles in 3 hours. What is the unit rate of the cyclist's speed in miles per hour?

• 25 miles per hour

• 30 miles per hour

• 35 miles per hour

• 40 miles per hour

Answer explanation

To find the unit rate, divide the total distance by the total time. 90 miles ÷ 3 hours = 30 miles per hour. Therefore, the cyclist's speed is 30 miles per hour.

Tags

VA.6.PFA.2.a

5 oranges cost $2.50. How much would 15 oranges cost?

• $5.00

• $7.50

• $10.00

• $12.50

Answer explanation

To find the cost of 15 oranges, first determine the cost per orange: $2.50 / 5 = $0.50. Then, multiply by 15: $0.50 x 15 = $7.50. Thus, 15 oranges cost $7.50.

Tags

VA.6.PFA.2.b

Is the graph proportional or non proportional?

• proportional

• non proportional

Answer explanation

The graph is non proportional because it does not maintain a constant ratio between the variables. In a proportional relationship, the graph would be a straight line through the origin, which is not the case here.

Tags

CCSS.7.RP.A.2D

Which of the following tables of data do you think represents a proportional relationship?

• 
• 

Answer explanation

This is a proportional relationship because it shows a table of equivalent ratios.

Tags

CCSS.7.RP.A.2A

Does the table show a proportional relationship?

• Yes

• No

Answer explanation

The table does not show a proportional relationship because the ratios of corresponding values are not constant. Therefore, the correct answer is No.

Tags

CCSS.7.RP.A.2A