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3 years ago

8

Explain how to find the constant of proportionality for the ratio of robins to cardinals.

2 answers:

romanna [79]3 years ago

8 0

Look at the table for each type of bird. 5x=15. 6x=18. 10x=30. What would you multiply each of those by to get your answer and find the difference? 5x=15; x= 3. It is the same for each number. So the difference is by 3. I think if I understand this correctly, that would be how you do it. Does this help?

sweet-ann [11.9K]3 years ago

8 0

Sample answer: Divide the number of robins by the number of cardinals for each pair of values. The ratios are the same and are a constant of proportionality of 3.

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Answer: $\textsf{y = -1/4x - 4}$

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Given: $\textsf{Slope = -1/4, Point through = (4, -5)}$

Find: $\textsf{Equation for the line that passes through the given point}$

Solution: In order to get the equation, we need to first use the point-slope form to help us sort out our information and then we solve for y.

<u>Plug in the values</u>

$\textsf{y - y}_1\textsf{ = m(x - x}_1\textsf{)}$

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<u>Simplify and solve for y</u>

$\textsf{y + 5 = -1/4(x - 4)}$

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Therefore, the final answer would be that the equation that has a slope of -1/4 and passes through (4, -5) is y = -1/4x - 4.

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