High School

The temperature in Tampa increased from 4 a.m. to 4 p.m. on one day in February. The table of values below represents temperature as a function of time.

| Time | Temperature (°F) |
|--------------|------------------|
| 5:53 a.m. | 60.1 |
| 6:53 a.m. | 60.1 |
| 8:53 a.m. | 66.9 |
| 11:53 a.m. | 75.2 |
| 3:53 p.m. | 78.1 |

Over which interval was the average rate of change per hour the greatest?

Answer :

Answer:

its b

Step-by-step explanation:

Time interval 6:53 a.m to 8:53 a.m, the average rate of change per hour the greatest.

Given,

Time Temperature (°F)

5:53 a.m. 60.1

6:53 a.m. 60.1

8:53 a.m. 66.9

11:53 a.m 75.2

3:53 p.m. 78.1

From 5:53 a.m. to 6:53 a.m. the temperature is constant. So average rate of change per hour is 0.

From 6:53 a.m to 8:53 a.m. the temperature is increasing from 60.1 to 66.9 or 6.8 in 2 hours . So average rate of change per hour is [tex]\frac{6.8}{2} =3.4[/tex].

From 8:53 a.m. to 11:53 a.m the temperature is again increasing from 66.9 to 75.2 or 8.3 in 3 hours. So average rate of change per hour is [tex]\frac{8.3}{3} =2.76[/tex].

From 11:53 a.m to 3:53 p.m. the temperature is again increasing from 75.2 to 78.1 or 2.9 in 4 hours. So average rate of change per hour is [tex]\frac{2.9}{4}=0.725[/tex].

Now clearly from the above points time interval 6:53 a.m to 8:53 a.m, the average rate of change per hour the greatest.

For more details on temperature scale follow the link:

https://brainly.com/question/15819503

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