Rates of Change and Slope Pre-Assessment
A skydiver is jumping from a plane at a constant rate towards the ground. The equation y = -10x + 15000 represents this situation, where y is the height of the diver above ground and x is the number of seconds the diver has been flying.Which statement best describes the height of the diver, given this equation. From a starting position of 10 feet above ground, the diver is descending at a rate of 15,000 feet per second. From a starting position of 10 feet above ground, the diver is ascending at a rate of 15,000 feet per second. From a starting position of 15,000 feet above the ground, the diver is descending at a rate of 10 feet per second. From a starting position of 15,000 feet above the ground, the diver is ascending at a rate of 10 feet per second. Mary makes 3 1 cookies in 1 of an hour. How many cookies can she make in 1 hour? 6 14 12 9 What constant rate of change is show in the graph below? 2 3 0.5 1 Match the following academic vocabulary terms to their correct equations or correct definitions. Constant Of Proportionality K = y Constant Rate Of Change y = mx Y-intercept Can be written as "b" in the equation y= mx +b. Unit Rate Rate of 1 unit GameStop charges gamers $56.00 for 8 games and Best Buy charges gamers $84.00 for 12 games. How much does each store charge for games? $7.00 $12.00 $8.00 $10.00 A tank is filling with water. After 2 minutes, it contained 12 gallons. After 5 minutes, it contained 30 gallons. What is the constant rate of change? 6 gallons per minute 10 gallons per minute 7 gallons per minute 5 gallons per minute 3 2 1 0 The graph below represents the linear relationship between the gallons of water leaked from the tank and the amount of time, in minutes.Which of these statements is supported by the rate of change in this relationship? It takes 2 minutes for 4 gallons to leak out of the tank. It takes 4 minutes for 3 gallons to leak out of the tank. It takes 3 minutes for 4 gallons to leak out of the tank. It takes 4 minutes for 2 gallons to leak out of the tank. Alexis has x pair of shoes. Patrice has 2 times as much pair of shoes as Alexis. Krysten has 16 pair of shoes.Which expression represents the total number of shoes Alexis, Patrice and Krysten have all together? 2x-x-16 x + 2x + 16 2x-x+16 16+x-2x The bakery around the corner from my house has an amazing deal! For every 3 dounts you buy, you get 2 cupcakes for FREE!Which equation relates donuts and cupcakes? y= 2x y= 3x y= 3 y = 2 Which of the answer choices below does NOT represent the amount of cars a salesperson sells if he sells 5 cars per hour? y = 5x, where y represents the amount of cars sold and x represents the hours. In 7 hours, the car salesman would have sold 45 cars. Samantha is an excellent reader and loves to read all the time. She can read at a rate of 84 pages every 2 of an hour. At this rate how many pages will Samantha read in 2 hours? Samantha will read 252 pages in 2 hours.