Graph Proportional Worksheets Grade 8

1. Tane earns $12 for every hour he works. If the relationship between hours worked (x) and total earnings (y) is proportional, what is the slope of the graph representing this relationship?
2. Emma earns money at a constant rate. She earns $45 for working 3 hours. If the relationship is proportional, what is the slope of the graph showing her earnings (y) versus time in hours (x)?
3. Sophia is filling orders for her small business making handmade candles. She uses 6 ounces of wax for each candle. If she makes 11 candles, the total wax used is 66 ounces. What is the constant of proportionality (slope) that represents the number of ounces of wax per candle? Graph the proportional relationship between the number of candles (x) and total ounces of wax used (y).

…and 5 more problems

1. On a coordinate plane, a line is drawn through the origin (0,0) and the point (7, 42). This line represents the proportional relationship between the number of hours Mason works (x-axis) and his total earnings in dollars (y-axis). What is the slope of this line, and what does it represent as the unit rate?
2. Tane walks at a constant speed. The distance he walks, y meters, is proportional to the time, x minutes. After 7 minutes, he has walked 91 meters. What is the slope of the graph of this proportional relationship, and what does it represent?
3. Aroha is making traditional woven flax kete (baskets). She finds that the amount of flax ribbon she needs is proportional to the number of kete she makes. For 3 kete, she needs 21 meters of ribbon. If she graphs the relationship with the number of kete on the x-axis and the meters of ribbon on the y-axis, what is the slope of the line, and what does it represent?

…and 5 more problems

1. A car travels 240 miles in 4 hours. What is the speed in miles per hour?
2. A wheelchair ramp is being designed to meet accessibility standards. The ramp forms a right triangle on a coordinate plane with its base along the x-axis from (0,0) to (15,0) and its vertical rise along the y-axis from (0,0) to (0,1.5). What is the slope of the ramp's inclined surface?
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