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‘The figure shows the graph of T, the temperature (in degrees Fahrenheit) over one particular 20-hour period as a function of time t.
a. Estimate T(14).
b. If t=0 corresponds to midnight, interpret what we mean by T(14) in words.
c. From the graph, estimate the highest temperature during this 20-hour period.
d. If Anya wants to go for a two-hour hike and return before the temperature is over 80 degrees, when should she leave?’
Mr. White looks up from his paper to see if anyone has the answer. Look who raises his hand! Jean-Luc is really doing well in school. He tells him to please respond. Jean-Luc heads up to the front of the room.
‘In this task, T(14) means that 14 hours after midnight, the temperature is a little less than 90 degrees Fahrenheit; T(14) is 2:00 p.m. The highest temperature on the graph is about 90 degrees. The temperature was decreasing between 4:00 p.m. and 8:00 p.m. It might have continued to decrease after that, but there is no information about the temperature after 8:00 p.m. If Anya wants to go for a two-hour hike and return before the temperature is over 80 degrees, then she should start her hike before 8:00 a.m.’
Note: This is a straightforward assessment task of reading and interpreting graphs. It requires an understanding of function notation and reinforces the idea that when a variable represents time, t = 0 is chosen as an arbitrary point in time and positive times are interpreted as times that happen after that point.’ (Info here)
“That’s correct Jean-Luc! Thank you,” says Mr. White.
The school bell rings and they are done for the day.
Let’s continue here - Philippe is feeling much better