Fire pits are frequently used to cook meat. A fire is built to heat the in the b

Question

Fire pits are frequently used to cook meat. A fire is built to heat the in the bottom of the pit. Once the pit reaches the temperature desired the meat is then put in the pit and covered. The table below represents the internal temperature(in degrees Fahrenheit) of the meat in terms i the number of hours that have elapsed since the meat was added to the pit.
Fire pits are frequently used to cook meat. A fire is built to heat the rocks in the bottom of the pit. Once the pit reaches the Fahrenheit) of the meat in terms of the number of hours that have elapsed since the meat was added to the pit desired temperature the meat is then put in the pit and covered. The table below represents the internal temperature (in degrees Number of hours Internal temperature since meat was added to the pit (in degrees Fahrenheit) of the meat 45 80 135 200 10 a. Let t represent the number of hours since the meat was added to the pit. Determine the average rate of change of the internal temperature of the meat over the following time intervals w degrees per hour Preview 72. ii. 1 Sts3 40.65 u degrees per hour Preview ii. 3 St S 10 167.5 degrees per hour Preview

Explanation / Answer

i) 0 <= t <= 1

average rate of change from 0 to 1

f(1) - f(0) / (1-0)

= ( 80 - 45 ) /1

= 35 degrees per hour

ii) 1 <= t <= 3

average rate of change = f(3) - f(1) / ( 3-1 )

= ( 135 - 80 ) / 2

= 27.5 degrees per hour

iii) 3 <=t <= 10

average rate of change = f(10 ) - f(3) / (10 - 3 )

= ( 200 - 135 ) / ( 10 - 3 )

= 9.29 degrees per hour

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