Linear Function Possible Solutions:
Gym Problem:
Slope: 10; rate of calorie burn per cycling minute
x-intercept: (-13.3, 0); no real-world meaning
y-intercept: (0, 133); initial calorie burn prior to beginning cycling
Independent variable: n, number of minutes cycled
Dependent variable: T, the total number of calories burned
Domain: Answers may vary depending on students' reasonable estimation of number of
minutes Jaylen might cycle. Example: 0 ≤ n ≤ 90
Range: Answer should match domain choice. Example: 133 ≤ T ≤ 1033. At 10 calories per
minute (see graph of reasonable # calories per minute) and 90 minutes, T= 133 + 10(90) or
1033.
Fishtank Problem:
Slope: 3; number of gallons siphoned per minute
x-intercept: (40, 0); the tank is empty at 40 minutes
y-intercept: (0, 120); tank initially contains 120 gallons
Independent variable: m, number of minutes of siphoning
Dependent variable: G, the number of gallons remaining in the tank
Domain: 0 ≤ m ≤ 40. Range: 0 ≤ G ≤ 120.