This table represents a proportional relationship. Use the table to identify the constant of proportionality between the ratio o
f the number of laps to the number of swimmers.
A 2-column table with 4 rows. Column 1 is labeled Number of Swimmers with entries 20, 18, 14, 9. Column 2 is labeled Number of Laps with entries 240, 216, 168, 108.
The constant of proportionality is
.
A 2-column table with 4 rows. Column 1 is labeled Number of Swimmers with entries 20, 18, 14, 9. Column 2 is labeled Number of Laps with entries 240, 216, 168, 108.
The constant of proportionality is
.
2 answers:
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Answer:
y = 1.5x + 1.5
Step-by-step explanation:
First, plot 2x + 3y = 15 on a graph. Then plot (1,3) on a graph. After that, draw a line that passes through (1,3) and forms 90 degrees angles with 2x + 3y = 15. Then find the equation of that line by finding the y-intercept (0, 1.5). Then head up to the intersection point (1.6153846153846, 3.9230769230769). Subtract 1.5 from y. (2.4230769230769) Then divide by 1.5 (1.6153846153846). Reverse the operations you just did (in reverse order) to get the equation y = 1.5x + 1.5.
(I don't know how to explain this too well. Here's a graph to make more sense of it.)
Answer:
(1,6)
Step-by-step explanation:
In order to reflect a point over a horizontal line, you need to count how many units it takes to reach that line (going vertically). Once you have that number, count that many units starting from that point on the line (again, going vertically), then that is your reflected point.
Counting from point Q to the line y = 2, it takes 4 units. So starting from that point on the line where I left off, I would count another 4 units, taking me to (1,6). The picture below explains it better visually.
