The initial value of this function is the temperature at 0 hours after the initial recording. This would be the temperature at the start of the recording.
Two pairs of (x,y) values could be (0, temperature at 0 hours) and (6, temperature at 6 hours). Let's say the temperature at 0 hours is 70 degrees Fahrenheit and the temperature at 6 hours is 80 degrees Fahrenheit. The rate of change would be (80-70)/(6-0) = 10/6 = 1.67 degrees Fahrenheit per hour.
Another pair of (x,y) values could be (2, temperature at 2 hours) and (4, temperature at 4 hours). Let's say the temperature at 2 hours is 75 degrees Fahrenheit and the temperature at 4 hours is 78 degrees Fahrenheit. The rate of change would be (78-75)/(4-2) = 3/2 = 1.5 degrees Fahrenheit per hour.
Based on the given information, the function appears to be a linear function. The rate of change is consistent with a linear function as it remains constant throughout the time period.
Table: Hourly Temperature Time (hours after your initial recording) Temperature (Degrees Fahrenheit) 0 1 2 3 4 5 6 This table represents the function of temperature over time. What is the initial value of this function? Interpret its meaning. Choose two pairs of (x,y) values, and find two values of the rate of change based on these two pairs of (x,y) values. Graph the function and determine if the function is a linear function. Is your conclusion consistent with the rate of change you found in question 2?
1 answer
1 answer