Proportional Relationships

Proportional Relationships



MA.7.AR.4.1

Proportional Relationships Summary

Multiple Choice

Angela is training for a marathon and completes her long mileage runs for training on the weekend.  Over the last 3 weekends she ran 15 miles in 2 hours 30 minutes; 18 miles in 3 hours; and 21 miles in 3 hours, 30 minutes.  Determine if her weekend training runs showcase is a proportional relationship.

• Yes, Angela runs 5 mph

• Yes, Angela runs 6 mph

• No, Angela ran different rates each weekend.

• No, Angela ran 6.5 mph

Multiple Choice

1. John and Eleanor went to their local gas station to collect information about the cost of fuel for compact cars. They observed both regular and premium gas purchases that day and recorded their data in the table below.

2. Is there a proportional relationship between the number of gallons of gas sold and the cost?

• Yes, there is a proportional relationship. The unit rate is 3.2

• Yes, there is a proportional relationship. The unit rate is .3125

• No, there is a proportional relationship between the number of gallons of gas sold and the cost.

• There is not enough information to determine this.

Multiple Choice

Which of the following pairs of ratios form a proportional relationship?

• 9 boys to 5 girls and 12 boys to 8 girls

• 9 boys to 5 girls and 18 boys to 10 girls

• 9 boys to 5 girls and 13 boys to 9 girls

• 9 boys to 5 girls and 27 boys to 14 girls

Multiple Choice

Look at the table to the left. Decide whether the table shows a proportional relationship between x and y.

• Yes it is a proportional relationship.

• No it is not a proportional relationship.

Multiple Select

Select all of the graphs that represent proportional relationships.