Exploring Proportional Relationships and Ratios in Life

A recipe calls for 2 cups of flour for every 3 cups of sugar. If you have a table showing the amounts of flour and sugar used, is this a proportional relationship?

• Yes, it is a proportional relationship.

• Flour and sugar are unrelated in this recipe.

• The relationship is only proportional for certain amounts.

• No, it is not a proportional relationship.

A car travels 150 miles on 5 gallons of gas. If a table shows the miles traveled for different gallons of gas, can you determine if the relationship is proportional?

• Yes, the relationship is proportional if the ratio of miles to gallons is constant.

• No, the relationship is not proportional because the miles vary with gallons.

• Yes, but only if the total gallons exceed 10.

• No, the relationship is proportional only if the car is electric.

A gardener plants 4 rows of flowers with 12 flowers in each row. If a table shows the number of rows and total flowers, is this a proportional relationship?

• There is no relationship between rows and total flowers.

• Yes, it is a proportional relationship.

• The relationship is only proportional for certain values.

• No, it is not a proportional relationship.

A store sells 3 notebooks for $6. If a table lists the number of notebooks and their total cost, is this relationship proportional?

• Yes, the relationship is proportional.

• The cost of notebooks varies with quantity.

• No, the relationship is not proportional.

• The total cost is fixed regardless of the number of notebooks.

A cyclist rides 30 miles in 2 hours. If a table shows the distance traveled over time, can you determine if the rate of change is constant?

• No, the table cannot show any distances.

• Yes, the rate of change is constant if the distance is increasing.

• Yes, the rate of change is constant if the table shows consistent distances.

• No, the rate of change varies with time.

A recipe requires 1/2 cup of oil for every 2 cups of flour. If a table shows the amount of oil and flour, is this a proportional relationship?

• Yes, it is a proportional relationship.

• The recipe does not specify a fixed ratio of oil to flour.

• No, it is not a proportional relationship.

• The relationship is only proportional for certain amounts of flour.

A factory produces 100 toys in 4 hours. If a table shows the number of toys produced over time, is this relationship proportional?

• The relationship is only proportional for the first hour.

• The relationship is proportional only if production increases.

• No, the relationship is not proportional.

• Yes, the relationship is proportional.

A school has 20 students for every 1 teacher. If a table shows the number of students and teachers, is this a proportional relationship?

• Yes, it is a proportional relationship.

• No, it is not a proportional relationship.

• There is no relationship between students and teachers.

• The relationship is only proportional for certain numbers of students.

A car can travel 240 miles on 8 gallons of gas. If a table shows the gallons of gas used and miles traveled, is this a proportional relationship?

• The relationship is only proportional for certain distances.

• It depends on the type of car used.

• Yes, it is a proportional relationship.

• No, it is not a proportional relationship.

A recipe uses 3 eggs for every 2 cups of milk. If a table shows the number of eggs and cups of milk, is this a proportional relationship?

• Yes, it is a proportional relationship.

• It depends on the number of eggs used.

• No, it is not a proportional relationship.

• The relationship is only proportional if the milk is whole.