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# Massachusetts Comprehensive Assessment System

Question 7: Open-Response
A dairy farmer uses two trucks to deliver milk. The two trucks use different kinds of fuel. Truck A uses gasoline and Truck B uses diesel. The table below shows the distance, in miles, that each truck can travel per gallon of fuel.
 Gallons    of Fuel Truck A    (Gasoline) Truck B    (Diesel) 1 8 miles 12 miles 2 16 miles 24 miles 3 24 miles 36 miles 4 ? miles 48 miles 5 40 miles 60 miles
1. Based on the table, what is the total number of miles Truck A can travel using 4 gallons of gasoline? Show or explain how you got your answer.
2. Based on the table, what is the total number of gallons of diesel Truck B will use to travel 132 miles? Show or explain how you got your answer.
3. Gasoline costs \$4 per gallon and diesel costs \$5 per gallon. Which truck will have a lower fuel cost for a 24-mile trip? Show or explain how you got your answer.

### Scoring Guide and Sample Student WorkSelect a score point in the table below to view the sample student response.

ScoreDescription
4 The student response demonstrates an exemplary understanding of the Ratios and Proportional Relationships concepts involved in using ratio and rate reasoning to solve real-world problems. The student finds the missing value in a table of equivalent ratios and uses the information in the table to solve a problem.
4
3 The student response demonstrates a good understanding of the Ratios and Proportional Relationships concepts involved in using ratio and rate reasoning to solve real-world problems. Although there is significant evidence that the student was able to recognize and apply the concepts involved, some aspect of the response is flawed. As a result the response merits 3 points.
2 The student response demonstrates a fair understanding of the Ratios and Proportional Relationships concepts involved in using ratio and rate reasoning to solve real-world problems. While some aspects of the task are completed correctly, others are not. The mixed evidence provided by the student merits 2 points.
1 The student response demonstrates a minimal understanding of the Ratios and Proportional Relationships concepts involved in using ratio and rate reasoning to solve real-world problems.
0 The student response contains insufficient evidence of an understanding of the Ratios and Proportional Relationships concepts involved in using ratio and rate reasoning to solve real-world problems to merit any points.

Note: There are 2 sample student responses for Score Point 4.