The Table Shows the Relationship Between the Number of Hours, H, John Has Been Hiking And

1. The table shows the relationship between the number of hours, h, John has been hiking and the total distance, d, he has traveled in kilometers. The graph shows the distance Sara hiked over the same time period. Who hikes at a faster rate?

2. Three students saved money for four weeks and reported their savings below. Who saved the greatest amount of money each week? Who saved the least?

3. The soccer coach wants to give an award to the player that had the greatest rate of speed over an extended distance. He has narrowed the award down to two players, John and Carlos. John gave the data to his coach in the graph. Carlos said he ran 2 miles in 13 minutes.

Who should the coach give the award to for running the greatest rate of speed over an extended time?

4. Susan is trying to determine which pool can fill the fastest. Pool A’s fill rate is shown in the graph below. Pool B’s fill rate is given by the equation and Pool C’s fill rate is given by the table below. Which pool has the fastest fill rate?

Pool A Pool C

5. Jack and Jill are selling pails that carry water. The cost of Jack’s pail is represented by the equation below. Jill’s pail prices can be modeled with the graph below. Who charges more per gallon? How much does each charge per gallon?

Jill Jack

SOLUTIONS

1. Sara hikes at a faster rate.

Sara: 5 km in 1 hour

John: 4 km in 1 hour

2. Omar saved the most ($2.50/week)

Carla saved the least ($1.75/week)

3. John should get the award.

John: approx. 5.75 minutes per mile

Carlos: 6.5 minutes per mile

4. Pool C has the fastest fill rate.

Pool A: 20 min = 1 in.

Pool B: 20 min = 3 in.

Pool C: 20 min = 4 in.

5. Jack charges more per gallon.

Jack: $1.25 per gallon

Jill: $0.80 per gallon