Direct & Inverse Variation Quiz - Algebra 1

Direct Variation Applications 1. The height of a wave in California varies directly with the seconds that pass by. At 4 seconds, the wave is 6 feet high. Find the constant of variation k. Be sure to show your work. 2. The number of calories in a muffin is directly proportional to the amount of sugar in the muffin. If a 200 calorie muffin has 500 grams of sugar, how many calories are in a muffin with 2,075 grams of sugar? 3. In scuba diving, the time it takes a diver to ascend safely to the surface varies directly with the depth of the dive. If it takes 0.75 minutes to reach the surface from a 45 foot dive, determine the time it will take to reach the surface from a 120 foot dive. Inverse Variation Applications 4. The number of hours it takes for a block of ice to melt varies inversely as the temperature. If it takes 2 hours for a square inch of ice to melt at 65º, find the constant of variation. 5. The width of a rectangle varies inversely with its length. If the width is 4 when the length is 12, find the width when the length is 16.