Graphing Word Problems: Analyze Relationships & Trends

A farmer has a plot of land represented on a graph. The coordinates of the corners of the plot are (3, 4), (3, -2), (-1, -2), and (-1, 4). Plot these points and shade the area of the plot. What is the area of the plot?

• 30

• 24

• 18

• 12

A school is planning a field trip. The number of students attending is represented by the point (5, 20) on a graph where the x-axis represents the number of buses and the y-axis represents the number of students. If each bus can carry 4 students, how many buses are needed?

• 5

• 4

• 8

• 6

A pet store tracks the number of cats and dogs sold each month. In January, they sold 10 cats and 5 dogs, represented by the point (10, 5). In February, they sold 15 cats and 10 dogs, represented by the point (15, 10). Plot these points and analyze the trend. What can you conclude about the sales?

• The sales of cats decreased while dog sales increased.

• There was no change in the sales of cats and dogs.

• The sales of cats and dogs are fluctuating without a clear trend.

• The sales of cats and dogs are increasing month over month.

A video game company releases two games. Game A sold 30 copies and Game B sold 15 copies. Represent this on a graph with Game A on the x-axis and Game B on the y-axis. What is the relationship between the sales of the two games?

• Game A sold three times as many copies as Game B.

• Game B sold more copies than Game A.

• Game A and Game B sold the same number of copies.

• Game A sold twice as many copies as Game B.

A local bakery sells cupcakes and cookies. If they sell 12 cupcakes and 8 cookies, plot the point (12, 8) on a graph. If they want to increase cookie sales to 12, what would be the new coordinates?

• (12, 10)

• (10, 8)

• (12, 12)

• (14, 8)

A bike rental shop has a graph showing the number of bikes rented (x-axis) and the total revenue (y-axis). If they rented 10 bikes for $15 each, plot the point (10, 150). If they rent 5 more bikes, what will the new revenue be?

• 150

• 300

• 180

• 225

A gardener is planting flowers in a rectangular garden. The coordinates of the corners are (0, 0), (0, 6), (4, 0), and (4, 6). Plot these points and calculate the perimeter of the garden. What is the perimeter?

• 20 units

• 16 units

• 22 units

• 18 units

A movie theater tracks ticket sales. In one week, they sold 50 adult tickets and 30 child tickets. Plot the point (50, 30) on a graph. If they want to increase child ticket sales to 40, what will be the new coordinates?

• (50, 20)

• (60, 30)

• (50, 40)

• (40, 30)

A zoo has a graph showing the number of visitors (x-axis) and the number of animals fed (y-axis). If they had 100 visitors and fed 80 animals, plot the point (100, 80). If the number of visitors increases to 150, how many animals might they need to feed if the ratio remains the same?

• 150 animals

• 90 animals

• 100 animals

• 120 animals

A sports store sells basketballs and soccer balls. If they sold 20 basketballs and 15 soccer balls, plot the point (20, 15). If they want to increase soccer ball sales to 25, what will be the new coordinates?

• (20, 10)

• (20, 25)

• (15, 20)

• (25, 15)