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iris [78.8K]
3 years ago
9

The table represents a liner function. What is the slope of the function?

Mathematics
2 answers:
QveST [7]3 years ago
7 0
The answer is 3, hope this helps
Liono4ka [1.6K]3 years ago
5 0

Answer:

The slope is 3.

Step-by-step explanation:

Let's use the slope formula to calculate the slope of this function. Remember, slope equals rise over run, or the difference between y coordinates divided by the difference between x coordinates of 2 points on the graph.

Let's use the last 2 points in the table: (1, 7) and (2, 10)

\frac{y_{2} - y_{1} }{x_{2} - x_{1} }

= \frac{10 - 7}{2 - 1}

= \frac{3}{1}

The slope of this function is 3!

Hope this helps :) Feel free to ask me any questions!

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<h3>How to determine the area?</h3>

The given parameters are:

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Step-by-step explanation:

We know that when y varies directly with x, the equation is

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Table A

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Finding k for all the pairs of x and y

k = y/x

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x     4   6   8   10

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Finding k all the pairs of x and y

k = y/x

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Hence, table B represents a direct variation.

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x     4   6   8   10

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Finding k all the pairs of x and y

k = y/x

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As the constant of proportionality 'k' does not remain constant.

Hence, table C does not represent a direct variation.

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Finding k all the pairs of x and y

k = y/x

k = 3/4, k = 3/6, k = 3/8, k = 3/10

As the constant of proportionality 'k' does not remain constant.

Hence, table D does not a direct variation.

Therefore, we conclude that 'Table B' represents a direct variation.

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