Slope and Graph Data Challenges for 6th Graders

A park is represented on a coordinate grid. The entrance is at point (2, 3) and the playground is at point (5, 7). What is the slope of the line connecting these two points?

• 4/3

• 3/2

• 2

• 1

A car travels from point (1, 2) to point (4, 5) on a coordinate graph. Calculate the slope of the line that represents the car's path.

• 2

• 0.5

• 3

• 1

A store's sales over four months are plotted on a graph. In January, sales were at (1, 200), and in February, they increased to (2, 300). What is the slope of the sales increase?

• 100

• 150

• 200

• 250

A bike path is shown on a graph with points (0, 0) and (6, 12). What does the slope of this line represent in terms of distance and time?

• The slope represents a speed of 1 unit of distance per unit of time.

• The slope represents a speed of 2 units of distance per unit of time.

• The slope represents a distance of 6 units per hour.

• The slope represents a time of 12 hours for 6 units of distance.

A student plotted the temperature in degrees Fahrenheit over a week. On day 1, the temperature was (1, 60) and on day 5 it was (5, 80). What is the slope of the temperature change?

• 10

• 5

• 15

• 20

A delivery truck travels from point (3, 4) to point (7, 10). What is the slope of the line that represents the truck's route?

• 2

• 5/3

• 3/2

• 1/2

A farmer's crop yield is plotted on a graph. In year 1, the yield was (1, 150) and in year 3 it was (3, 300). Calculate the slope of the yield increase.

• 75

• 200

• 50

• 100

A school tracks the number of books read by students over a month. On day 1, 5 books were read (1, 5) and by day 10, 50 books were read (10, 50). What is the slope of the line connecting these points?

• 15

• 10

• 25

• 5

A train travels from station A at (0, 0) to station B at (8, 16). What does the slope of the line connecting these two stations indicate about the train's speed?

• The slope of the line indicates the train's speed of descent.

• The slope of the line shows the distance traveled by the train.

• The slope of the line indicates the train's speed of ascent.

• The slope of the line represents the time taken by the train.

A city measures its population growth over five years. In year 1, the population was (1, 1000) and in year 5 it was (5, 3000). What is the slope of the population growth?

• 2000

• 750

• 1000

• 500