Coordinate Plane Problems Practice
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Question
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A coordinate plane plots temperature in Celsius for different days. The x-axis labeled day, and the y-axis labeled temperature degree Celcius, both range from negative 5 to 5 in increments of 1. Six unlabeled points are plotted. Quadrant 1 is labeled with left parenthesis positive sign comma positive sign right parenthesis. Quadrant 2 is labeled with left parenthesis negative sign comma positive sign right parenthesis. Quadrant 3 is labeled with left parenthesis negative sign comma negative sign right parenthesis. Quadrant 4 is labeled with left parenthesis positive sign comma negative sign right parenthesis. Points are plotted at left parenthesis 2 comma 2 right parenthesis; left parenthesis negative 4 comma 4 right parenthesis, left parenthesis negative 3 comma 0 right parenthesis; left parenthesis negative 2 comma negative 2 right parenthesis; left parenthesis zero comma zero right parenthesis; left parenthesis 4 comma negative 1 right parenthesis.
Alex is tracking temperatures. Today the temperature was 0° Celsius, which is represented by the point (0, 0) . If the temperature yesterday was right in between today’s temperature and the temperature two days ago, what was the temperature yesterday?
(1 point)
Yesterday’s temperature was
° Celsius.
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Since the point representing today's temperature is (0, 0) and the point representing the temperature two days ago is (-3, 0), we can see that the temperature is decreasing over time.
To find the temperature yesterday, we need to find the point that lies between (0, 0) and (-3, 0).
Since the x-coordinate represents the days, we can subtract 1 from the x-coordinate of (0, 0) to find the x-coordinate of the point representing yesterday.
Therefore, the x-coordinate of the point representing yesterday is -1.
To find the y-coordinate of the point representing yesterday, we can find the average of the y-coordinates of (0, 0) and (-3, 0).
The y-coordinate of (0, 0) is 0, and the y-coordinate of (-3, 0) is also 0.
Therefore, the y-coordinate of the point representing yesterday is also 0.
Thus, the temperature yesterday was 0° Celsius.