Question

The image shows the graph of T , the temperature (in Fahrenheit) over a 20-hour period in Peach

Tree City as a function of time T




1. Estimate T(10)
2. If t=0 corresponds to 12:00 midnight, interpret what is meant by T(12) in words
3. Estimate the highest temperature during this period from the graph.
4. When was the temperature decreasing?
5. If Taylor Swift wants to go for a two-hour hike and return before the temperature gets
over 70 degrees, when should she leave?

Answer 1

1. 80° F

2. 12:00 noon

3. 85°F

4. After 2 P.M. in the afternoon.

5. At 2 A,M

Explanation:

In Peach Tree City the temperature (T) in Fahrenheit over a 20-hour period is shown in the given graph.

1. From the graph, it is clear that T(10) = 80° F (Approximate)

2. IF t = 0 corresponds to 12:00 midnight, then the meaning of T(12) means the temperature at the 12:00 noon.

3. The highest temperature during the 12 hour period is 85°F (Approximate).

4. The temperature starts to decrease after 2 P.M. in the afternoon.

5. The temperature gets over 70°F after 6 A.M. So, Taylor Swift should start his 4 hours return trip at 2 A.M. (Answer)