Question 1

Based on the graph of recorded hourly temperatures, at what time was the temperature at its lowest?

Accepted Answer

9 a.m.

Question 2

According to the graph, at what time did the temperature reach its highest value?

Accepted Answer

12 p.m.

Question 3

What was the temperature at 3 p.m. according to the graph?

Accepted Answer

$$76^\circF$$

Question 4

Between which two consecutive hours did the temperature increase the most?

Accepted Answer

10 a.m. and 11 a.m.

Question 5

What is the average rate of change in temperature from 12 p.m. to 3 p.m.?

Accepted Answer

$$\frac{76 - 79}{3 - 12} = -\frac{3}{3} = -1$$ $$^\circF/$$hour$$\ (	ext{correct calculation: }\frac{76-79}{3-12} = \frac{-3}{-9} = \frac{1}{3})$$

Question 6

If the temperature at 9 a.m. was $$72^\circF $$and at 12 p.m. was $$79^\circF$$, what was the average rate of change in temperature during this period?

Accepted Answer

$$\frac{79 - 72}{12 - 9} = \frac{7}{3} \approx 2.33$$ $$^\circF/$$hour

Question 7

During which time interval did the temperature remain constant according to the graph?

Accepted Answer

11 a.m. to 12 p.m.

Question 8

What is the temperature at 6 p.m. as shown on the graph?

Accepted Answer

$$75^\circF$$

Question 9

Which of the following best describes the overall trend in temperature from 9 a.m. to 6 p.m.?

Accepted Answer

The temperature increases until noon, then decreases.

Question 10

If you were to model the temperature data from 9 a.m. to 1 p.m. with a linear function, which pair of points would you use to find the slope?

Accepted Answer

(9, 72) and (12, 79)

Analyzing Maximum and Minimum Temperatures from a Line Graph

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