Answer:
(5, 2)
Step-by-step explanation:
<h3>understanding the question</h3>
The question is asking you to express the temperature at 5 pm as a pair of graph coordinates.
Doing this requires that you ...
- read from the graph the temperature at 2 pm
- read from the graph the temperature at 8 pm
- figure the temperature halfway between those values
- express the 5 pm temperature as an ordered pair (hours, °C)
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<h3>reading the graph</h3>
The description of the graph tells you the horizontal scale is hours after noon, so the temperature at 2 pm will be a point on the graph with an x-coordinate of 2. That point is (2, 7), indicating the temperature at 2 pm is 7 °C.
Likewise, the temperature at 8 pm is shown as the point on the graph with x-coordinate 8. That point is (8, -3), indicating a temperature of -3°C at 8 pm.
<h3>halfway temperature</h3>
The temperature halfway between those values (7 °C and -3 °C) can be found several ways. Perhaps the easiest is to average the values:
(7 +(-3))/2 = 4/2 = 2
The temperature at 5 pm is 2 °C.
<h3>coordinates</h3>
Coordinates on the graph are ordered pairs of the form (x, y) = (hours, °C). The time 5 pm is 5 hours after noon, so the x-coordinate is 5. The temperature at 5 pm is halfway between the temperatures at 2 and 8 pm, which we have computed to be 2 °C, so the y-coordinate is 2.
The coordinates that represent the temperature at 5 pm are ...
(5, 2)