Graph the data. Then find and interpret the slope of the line through the points.
1 answer:
Answer:
4. The slope is 1.5 pages per minute
The interpretation is 1.5 pages takes 1 minute to complete
5. The slope is 135 Calorie per mile
The interpretation is 135 calories of energy is required or used in traveling a distance of 1 mile
Step-by-step explanation:
4. The given data are;
Minutes, x; 0, 1, 3, 5
Pages, y; 0, 1.5, 4.5, 7.5
The graph of the data created with MS Excel is included
From the graph, we have;
The slope is given by the rate of change of the y-values to the change in the x-values of the data
∴ Slope = Δy/Δx
The slope = 1.5 pages per minute
The interpretation of the slope is that the number of pages completed per minute is 1.5 pages
5. The given data are;
Miles, x; 0, 1, 2, 3
Calories, y; 0, 135, 270, 405
Please find attached the graph of the data created with MS Excel
From the graph, the slope = Δy/Δx = (270 - 135)/(2 - 1) = 135
The slope = 135 Calorie per mile
The interpretation of the slope is it takes 135 calories to complete 1 mile or vice versa.
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<h3>Two answers: 5, 7</h3>
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Explanation:
A drawing may be helpful to see what's going on. Check out the diagram below. This is one way of drawing out the two triangles. The locations of the points don't really matter, and neither does the the orientation of how you rotate things. What does matter is we have the right points connected to form the segments mentioned.
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For now, focus on triangle TIP only. In order to have this be isosceles, we must make TP = 5 or TP = 7.
If TP = 5, then it's the same length as TI.
If TP = 7, then it's the same length as PI.
In either case, we have exactly two sides the same length (the other side different) which is what it means for a triangle to be isosceles.
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Let's consider triangle TOP. For it to be isosceles, we must have two sides the same length. We already locked in TP to be either 5 or 7 in the previous section above. So there's no way that TP could be 11 units long to match up with PO = 11.
If TP = 5, then OT must also be 5 units long so that triangle TOP is isosceles.
If TP = 7, then OT = 7 for similar reasoning.
Either way, TP only has two choices on what it could be.
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In short, we basically just write the first two values given to us to get the two triangles to be isosceles. We can't use TP = 11 as it would make triangle TIP to be scalene (all sides are different lengths).