Proportionality Constant Worksheets Grade 7

1. Hana is drawing a rectangle on a coordinate plane with vertices at (0,0), (32,0), (32,20), and (0,20). She then draws a straight line from the origin (0,0) through the point (24,15) to the top edge of the rectangle. If this line represents a proportional relationship between the horizontal distance (x) and vertical distance (y) from the origin, what is the constant of proportionality k?
2. A factory produces electronic components at a constant rate. The quality control team found that for every 150 components produced, 12 are defective. If the factory produces 2,250 components in one day, how many defective components should they expect based on this proportional relationship?
3. If y = 14x and y = 168, what is x?

…and 5 more problems

1. Mason is analyzing a line graph on a coordinate plane that shows a proportional relationship between the number of hours spent studying (x-axis) and the score on a test in points (y-axis). The line passes through the origin and the point (17, 391). What is the constant of proportionality k, which represents the number of points earned per hour of studying?
2. A construction company needs to mix concrete using a specific ratio of cement to sand. For every 8 kilograms of cement, they use 12 kilograms of sand. If they use 240 kilograms of sand for a large project, what is the constant of proportionality that relates the amount of cement used to the amount of sand used?
3. If y = 24x and y = 168, what is x?

…and 5 more problems

1. A construction company needs to mix concrete using a specific ratio of cement to sand. For every 8 kilograms of cement, they use 12 kilograms of sand. If they use 150 kilograms of cement for a large project, how many kilograms of sand should they use to maintain the same proportional mixture?
2. y = 37x, y = 851. What is x?
3. A factory produces electronic components at a constant rate. The production manager notices that in 3.5 hours, the factory produces 1,750 components. If the factory operates for 12 hours, how many components will it produce?

…and 6 more problems