Anne works the front desk at a local school. She keeps a jar of M&M’s on her desk for the kids who come to visit her. She starts with 1024 candies in the jar. Each time a student stops by, she gives that student half of the candy that is left. Model this scenario relating the amount of candy left in the jar to the number of students that have stopped by. Which of the following describe the scenario. Select all that apply.
Discrete
Continuous
Linear
Exponential
Quadratic
A wildfire has just broken out in Riverside county. The fire was affecting 15 acres when it first started. The local fire chief has estimated that the burn area is growing at a rate of 40% every hour. Model the growth of the area being burned versus the time since the start of the fire. Which of the following describe the scenario. Select all that apply.
Discrete
Continuous
Linear
Exponential
Quadratic
Michelle likes to donate her hair to organizations that make wigs for cancer patients. Her hair is currently 6 inches long. She tracks her hair growth and finds that it grows about ½ an inch every month. The organization Michelle donates to only accepts donations of hair that are 10 inches or longer. Michelle plans to donate her hair once it’s long enough that she can donate 10 inches but still have 4 inches of hair left on her head. Model this scenario of the length of Michelle’s hair in relation to the amount of time that has passed. Which of the following describe the scenario. Select all that apply.
Discrete
Continuous
Linear
Exponential
Quadratic
Sarah has been playing Pokemon Go for a few days now. On her 5th day of playing the game, she counts and finds she’s caught 17 Pokemon. She makes a goal to start regularly catching 5 Pokemon every day. Model this scenario relating the amount of Pokemon Sarah has caught to the number of days that have passed. Which of the following describe the scenario. Select all that apply.
Discrete
Continuous
Linear
Exponential
Quadratic
Samantha is saving money for a Nintendo Switch Lite. She already has $60 in the bank and plans to save $20 every week. The Nintendo Switch costs $200. Model this scenario relating the amount of money Samantha has saved to the number of weeks that have passed. Which of the following describe the scenario. Select all that apply.
Discrete
Continuous
Linear
Exponential
Quadratic
Cameron is working in a lab to test the resistance of different bacteria to certain antibiotics. On the first day, he has 20 bacteria. Every day, the bacteria population doubles. Model this scenario relating the number of bacteria in the population to the number of days that have passed. Which of the following describe the scenario. Select all that apply.
Discrete
Continuous
Linear
Exponential
Quadratic
Cameron is preparing to run a marathon. Tomorrow, she plans to run 18 miles, at an 8-minute mile pace. Model Cameron’s distance versus her time in this practice run. Which of the following describe the scenario. Select all that apply.
Discrete
Continuous
Linear
Exponential
Quadratic
Brandon just bought a motorcycle to save gas on his commute. He bought the motorcycle new for $7,500. He learned from his grandma that motorcycles depreciate in value at a rate of 8% every year. Model this scenario relating the value of the motorcycle to its age. Which of the following describe the scenario. Select all that apply.
Discrete
Continuous
Linear
Exponential
Quadratic