Proportional Graphs Worksheets Grade 7

1. A proportional relationship is graphed on a coordinate plane where the x-axis represents hours worked and the y-axis represents earnings in dollars. The line passes through points (0,0) and (5,87.50). If someone works for 12 hours, how much will they earn?
2. Liam is baking cookies for a school fundraiser. His recipe uses 2 cups of flour to make 24 cookies. He needs to make 180 cookies for the event. How many cups of flour should Liam use?
3. Aroha is helping her uncle design a proportional scale model of a traditional Maori meeting house. The actual meeting house has a height of 9 meters. In their model, every 1.5 meters of actual height is represented by 4 centimeters. If the model's height is proportional to the actual height, how many centimeters tall should the model be?

…and 5 more problems

1. Matiu is helping his family install solar panels on their roof. He notices that on a sunny day, the solar panels produce 12,500 watts of power in 5 hours. If the panels continue to produce power at this constant proportional rate, how many watts of power will they produce in 24 hours?
2. Moana is training for a race and runs at a constant speed. After 5 minutes, Moana has run 5 miles. If this is a proportional relationship, how many miles does Moana run per minute?
3. Matiu is tracking the distance a toy car travels over time on a straight track. The relationship is proportional and is graphed on a coordinate plane where the x-axis represents time in seconds and the y-axis represents distance in centimeters. The line passes through the origin (0,0) and the point (12, 48). If the car continues at this constant speed, what is the distance traveled in centimeters after 30 seconds?

…and 4 more problems

1. A rectangular garden is drawn on a coordinate plane with vertices at (2, 1), (14, 1), (14, 7), and (2, 7). A path runs diagonally from the vertex at (2, 1) to the vertex at (14, 7), dividing the garden into two triangular sections. What is the ratio of the area of the smaller triangular section to the area of the entire rectangular garden?
2. A proportional relationship is graphed on a coordinate plane, showing the cost of printing photos at a photo lab. The line passes through points (0, 0) and (8, 12), where x represents the number of photos printed and y represents the total cost in dollars. What is the cost per photo?
3. Hana is filling a large tank with water. The graph of the proportional relationship between time (in minutes) and the volume of water (in liters) is a straight line through the origin. The line passes through the point (15, 180). If the tank holds 540 liters, how many minutes will it take to fill the tank completely?

…and 5 more problems