Graphing Real-World Problems: A 6th Grade Challenge

A farmer has a plot of land shaped like a rectangle. The length of the plot is 10 meters and the width is 5 meters. Plot the points representing the corners of the rectangle on a graph. What are the coordinates of the corners?

• [(0,0), (10,0), (10,5), (0,5)]

• [(0,0), (10,0), (0,5), (10,5)]

• [(0,0), (10,5), (0,10), (10,0)]

• [(0,0), (5,0), (5,10), (0,10)]

A school is planning to build a playground. They have a budget of $5000. If each piece of equipment costs $250, how many pieces can they buy? Plot this information on a graph with the budget on the x-axis and the number of pieces on the y-axis.

• 10 pieces

• 15 pieces

• 25 pieces

• 20 pieces

A car travels 60 miles in 1 hour. If it continues at the same speed, how far will it travel in 3 hours? Plot the distance on a graph with time on the x-axis and distance on the y-axis. What point represents the distance after 3 hours?

• 300 miles

• 180 miles

• 240 miles

• 120 miles

A store sells apples for $2 each and bananas for $1 each. If you buy 3 apples and 4 bananas, plot the total cost on a graph where the x-axis represents the number of apples and the y-axis represents the total cost. What point do you plot?

• (2, 8)

• (3, 10)

• (4, 12)

• (3, 7)

In a science experiment, a plant grows 2 cm each week. If it starts at 5 cm, plot the height of the plant over 5 weeks. What will be the height of the plant at week 5?

• 15 cm

• 10 cm

• 12 cm

• 20 cm

A bike rental shop charges a flat fee of $10 plus $5 for each hour rented. If you rent a bike for 3 hours, plot the total cost on a graph. What point represents the cost for 3 hours?

• (3, 20)

• (3, 25)

• (3, 30)

• (3, 15)

A student scores 80, 85, and 90 on three tests. Plot these scores on a graph with the test number on the x-axis and the score on the y-axis. What is the average score?

• 82

• 85

• 87

• 90

A local bakery sells cupcakes for $3 each. If you buy 6 cupcakes, plot the total cost on a graph where the x-axis represents the number of cupcakes and the y-axis represents the total cost. What point do you plot for 6 cupcakes?

• (5, 15)

• (6, 12)

• (7, 21)

• (6, 18)

A train travels at a speed of 50 miles per hour. How far will it travel in 4 hours? Plot this information on a graph with time on the x-axis and distance on the y-axis. What point represents the distance after 4 hours?

• 150 miles

• 250 miles

• 200 miles

• 100 miles

A gardener plants 5 rows of flowers, with 4 flowers in each row. Plot the total number of flowers on a graph where the x-axis represents the number of rows and the y-axis represents the total number of flowers. What point do you plot for 5 rows?

• (5, 20)

• (5, 15)

• (6, 24)

• (4, 16)