Sketch Function Graphs Worksheets Grade 8

1. Sophia is filling a cylindrical tank with water at a constant rate. She then stops filling for 6 minutes to check the tank. After that, she continues filling at the same constant rate until the tank is full. Sketch a graph of the water height in the tank versus time.
2. Olivia is watching her dog run in the park. The dog starts at Olivia's feet, runs away from her at a steady pace for 10 seconds, then stops to sniff a bush for 5 seconds. After sniffing, the dog runs back toward Olivia at a faster steady pace for 5 seconds until it reaches her. Sketch a qualitative graph of the dog's distance from Olivia over time. Describe the shape of the graph.
3. Liam is designing a rectangular garden with a length that is 3 meters more than twice its width. The area of the garden needs to be 65 square meters. What are the dimensions of Liam's garden?

…and 5 more problems

1. A right triangle is drawn on a coordinate plane with vertices at (0,0), (12,0), and (12,5). A rectangle is inscribed inside this triangle such that one side lies along the x-axis from (0,0) to (x,0), and the opposite vertices touch the hypotenuse of the triangle. What is the area of the largest possible rectangle that can be inscribed in this triangle under these conditions?
2. Mason is filling a cylindrical water tank that has a radius of 2 feet and a height of 7 feet. He fills it at a constant rate of 2 cubic feet per minute. After 22 minutes, he stops for 7 minutes, then continues filling at the same rate until the tank is full. Sketch a qualitative graph of the water height in the tank versus time. Describe the shape of the graph and explain any changes in slope.
3. (4.8 × 10^6) ÷ (1.2 × 10^3) = ?

…and 3 more problems

1. Emma is planning a road trip and uses the equation d = 55t to calculate the distance she will travel, where d is distance in miles and t is time in hours. If she wants to travel 330 miles, how many hours will her trip take?
2. Emma is planning a road trip and needs to calculate her fuel costs. Her car's fuel efficiency is 8.5 liters per 100 kilometers. The total distance of her trip is 425 kilometers, and the current fuel price is $1.40 per liter. How much will Emma spend on fuel for her entire trip?
3. Aroha is filling a rectangular fish tank with water. The tank is 12 feet long, 9 feet wide, and 10 feet deep. Water flows from a hose at a constant rate of 15 cubic feet per minute. After 6 minutes, the hose is turned off, and the tank is left to sit for 2 minutes. Then, a drain is opened that removes water at a constant rate of 10 cubic feet per minute for 4 minutes. Sketch a qualitative graph of the water depth (in feet) versus time (in minutes) from the start of filling to the end of draining. Label the axes and key points.

…and 4 more problems