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3 years ago

What equation represents the proportional relationship displayed in the table?

Mathematics

1 answer:

KATRIN_1 [288]3 years ago

3 0

Answer:

$y=6x$

Step-by-step explanation:

Given:

The table is given as:

x 0 4 7 8

y 0 24 42 48

The relationship between 'x' and 'y' is a proportional relationship.

A proportional relationship is one in which one variable varies directly with the other by a factor of 'k' also known as constant of proportionality and $k\ne 0$

A proportional relationship is given as:

$y=kx$

Now, we plug in 'x' and 'y' values and find the value of 'k'.

Let $x=4\ and\ y=24$

$24=k\times 4\\\\k=\frac{24}{4}=6$

Therefore, the constant of proportionality is 6. Hence the complete equation is given as:

$y=6x$

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Answer:

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_____

<em>Comment on this geometry</em>

Consider a different inscribed angle, one with vertex V on the circle and subtending the same short arc subtended by chord AB. Then you know that the angle at V is half the measure of arc AB. This is still true as point V approaches (and becomes) point A on the circle. When V becomes A, segment VA becomes tangent line <em>l</em>, and you have the geometry shown here.

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