Lesson 20
Describing Trends in Scatter Plots
Problem 1
- Draw a line that you think is a good fit for this data. For this data, the inputs are
the horizontal values, and the outputs are the vertical values.
- Use your line of fit to estimate what you would expect the output value to be when the input is 10.
Solution
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Problem 2
Here is a scatter plot that shows the most popular videos in a 10-year span.
- Use the scatter plot to estimate the number of views for the most popular video in this 10-year span.
- Estimate when the 4th most popular video was released.
Solution
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(From Unit 5, Lesson 18.)Problem 3
Here are Circles c and d. Point O is the center of dilation, and the dilation takes Circle c to Circle d.
- Plot a point on Circle c. Label the point P. Plot where P goes when the dilation is applied.
- Plot a point on Circle d. Label the point Q. Plot a point that the dilation takes to Q.
Solution
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(From Unit 2, Lesson 9.)Problem 4
Triangle A is an isosceles triangle with two angles of measure x degrees and one angle of measure y degrees.
- Find three combinations of x and y that make this sentence true.
- Write an equation relating x and y.
- If you were to sketch the graph of this linear equation, what would its slope be? How can you interpret the slope in the context of the triangle?
Solution
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(From Unit 5, Lesson 11.)Problem 5
Mai earns $7 per hour mowing her neighbors' lawns. She also earned $14 for hauling away bags of recyclables for some neighbors.
Priya babysits her neighbor’s children. The table shows the amount of money m she earns in h hours. Priya and Mai have agreed to go to the movies the weekend after they have earned the same amount of money for the same number of work hours.
h | m |
---|---|
1 | $8.40 |
2 | $16.80 |
4 | $33.60 |
-
How many hours do they each have to work before they go to the movies?
-
How much will each of them have earned?
-
Explain where the solution can be seen in tables of values, graphs, and equations that represent Priya's and Mai's hourly earnings.
Solution
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(From Unit 5, Lesson 12.)