Graph Proportional Worksheets Grade 8

1. Noah is filling a swimming pool at a constant rate. The graph of the water volume (in gallons) over time (in minutes) is a straight line passing through the origin and the point (6, 96). What is the slope of this line, and what does it represent in this context?
2. Mason earns money at a constant rate. After working 7 hours, he earns $42. What is the slope of the line representing his earnings (y) as a function of hours worked (x)?
3. Ava is filling a pool at a constant rate. The proportional relationship between time (t) in minutes and water volume (v) in gallons is given by v = 8t. What is the slope of the graph of this relationship, and what does it represent as the unit rate?

…and 5 more problems

1. A right triangle is drawn on a coordinate plane with vertices at (0,0), (6,0), and (6,8). A line is drawn from the origin (0,0) to the point (6,8), which represents the hypotenuse. What is the slope of this hypotenuse?
2. A line passes through points (3, 7) and (9, 19). Find the slope of this line.
3. Aroha is filling her bird feeder with seeds. She notices that the number of seeds eaten, y, is proportional to the number of days, x. After 3 days, 21 seeds have been eaten. If she graphs this relationship with days on the x-axis and seeds eaten on the y-axis, what is the slope of the line, and what does it represent?

…and 4 more problems

1. Tane is filling bags of rice for a fundraiser. The amount of rice he packs is proportional to the time he works. After 9 minutes, he has packed 27 kilograms of rice. What is the slope of the line representing kilograms of rice packed per minute, and what does it represent in this situation?
2. A research satellite is traveling through space at a constant speed. The distance it travels (in kilometers) is proportional to the time it travels (in hours). After 3.5 hours, the satellite has traveled 2.8 × 10⁵ kilometers. How many kilometers will the satellite travel in 8 hours? Express your answer in scientific notation.
3. A right triangle is drawn on a coordinate plane with vertices at (0,0), (6,0), and (6,8). A line is drawn from the origin (0,0) to the point (6,8), forming the hypotenuse. What is the slope of this hypotenuse?

…and 5 more problems