Time of Day
| 10 AM
| 12 Noon
| 2 PM
| 4 PM
| 6 PM
| 8 PM
| 10 PM
|
Temperature (  )
| 30
| 35
| 36
| 36
| 34
| 30
| 28
|
a.
| The average rate of change of temperature with respect to time over the entire 12-hour period is approximately -0.167 degrees per hour.
|
b.
| The average rate of change of temperature with respect to time over the entire 12-hour period is approximately 0.167 degrees per hour.
|
c.
| The average rate of change of temperature with respect to time over the entire 12-hour period is approximately -6 degrees per hour.
|
d.
| The average rate of change of temperature with respect to time over the entire 12-hour period is approximately 6 degrees per hour.
|
+227 To find average rate of change, we take the final measurement minus the initial measurement, and divide that difference by the time. So, in this problem, the initial value is 30°F and the final value is 28°F. So, let's take the difference:
28°F - 30°F = -2°F
Now we divide that by the time, which is 12 hours. That gives us -0.167°F/hr.
+227 To find average rate of change, we take the final measurement minus the initial measurement, and divide that difference by the time. So, in this problem, the initial value is 30°F and the final value is 28°F. So, let's take the difference:
28°F - 30°F = -2°F
Now we divide that by the time, which is 12 hours. That gives us -0.167°F/hr.
