Lesson 13
Interpreting Points on a Coordinate Plane
Let’s examine what points on the coordinate plane can tell us.
Problem 1
The elevation of a submarine is shown in the table. Draw and label coordinate axes with an appropriate scale and plot the points.
time after noon (hours) | elevation (meters) |
---|---|
0 | -567 |
1 | -892 |
2 | -1,606 |
3 | -1,289 |
4 | -990 |
5 | -702 |
6 | -365 |
Problem 2
The inequalities \(h > 42\) and \(h< 60\) represent the height requirements for an amusement park ride, where \(h\) represents a person's height in inches.
Write a sentence or draw a sign that describes these rules as clearly as possible.
Problem 3
The \(x\)-axis represents the number of hours before or after noon, and the \(y\)-axis represents the temperature in degrees Celsius.
![A coordinate plane, origin O. The area top & right of the origin is Quadrant 1, and counter-clockwise labeled quadrant 2, 3, 4.](https://staging-cms-im.s3.amazonaws.com/yVgZ83URzeQzMa5Z7ntK46i8?response-content-disposition=inline%3B%20filename%3D%226-6.7.C2.Image.03.png%22%3B%20filename%2A%3DUTF-8%27%276-6.7.C2.Image.03.png&response-content-type=image%2Fpng&X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAXQCCIHWF37H2AMFB%2F20240703%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240703T113248Z&X-Amz-Expires=604800&X-Amz-SignedHeaders=host&X-Amz-Signature=01df1803c5a7d422847a9ddcd7b11b8e5613cfe3cf7ece2b3ff1fe4d7677fe6a)
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At 9 a.m., it was below freezing. In what quadrant would this point be plotted?
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At 11 a.m., it was \(10^\circ \text{C}\). In what quadrant would this point be plotted?
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Choose another time and temperature. Then tell the quadrant where the point should be plotted.
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What does the point \((0, 0)\) represent in this context?
Problem 4
Solve each equation.
\(3a = 12\)
\(b + 3.3 = 8.9\)
\(1 = \frac{1}{4} c\)
\(5\frac{1}{2} = d+ \frac{1}{4} \)
\(2e = 6.4\)