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victus00 [196]
2 years ago
10

Skylar wanted to show the proportional relationship between the dollar value of the original investment, x, and its value after

a 10% decrease, y. He creates the table of values shown. Does it model the relationship? Explain. Then, provide a correct equation for the relationship Skylar wants to model.
Mathematics
1 answer:
suter [353]2 years ago
6 0

After checking the information of the table, it is to notice that the table fulfills the behavior of a <em>direct</em> relationship described by the <em>linear</em> equation y = 0.9 · x. #SPJ1

<h3>How to analyze a relationship between the two variables</h3>

Let be <em>x</em> and <em>y</em> the <em>original</em> investment and the value after applying the change, both in monetary units. A <em>direct</em> relationship is observed by following this model:

y = (1 + r/100) · x     (1)

Where <em>r</em> is change rate, in percentual units.

After checking the information of the table, it is to notice that the table fulfills the behavior of a <em>direct</em> relationship described by the <em>linear</em> equation y = 0.9 · x. #SPJ1

<h3>Remark</h3>

The table of the <em>change</em> in investment with respect to <em>initial</em> investment is missing and is now introduced below:

<em>(x₁, y₁) =</em> (75, 7.5), <em>(x₂, y₂) =</em> (100, 10), <em>(x₃, y₃) =</em> (200, 20), <em>(x₄, y₄) =</em> (300, 30), <em>(x₅, y₅) =</em> (400, 40)

To learn more on direct relationships, we kindly invite to check this: brainly.com/question/14293770 #SPJ1

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