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3 years ago

5

What is a direct variation and how do you do it?

2 answers:

aleksley [76]3 years ago

7 0

Direct Variation-<span>A relationship between two variables in which one is a constant multiple of the other. like when one variable changes the other changes in proportion to the first. If b is directly proportional to a, the equation is of the form b = ka (where k is a constant).</span>

RUDIKE [14]3 years ago

5 0

Direct Variation. Directly Proportional. A relationship between two variables in which one is a constant multiple of the other. In particular, when one variable changes the other changes in proportion to the first. If b is directly proportional to a, the equation is of the form b = ka (where k is a constant).

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The value of a collector’s item is expected to increase exponentially each year. The item is purchased for $500. After 2 years,

Anika [276]

Answer:

Option 2 is correct.

Step-by-step explanation:

Actual price = $500

After 2 years the worth of item is increased to = $551.25

We need to find the equation that represents y, the value of the item after x years.

According to given information the equation can be of form

$y=500(r)^x$

where r represents the growth and x represents the number of yeras.

We need to find the value of r that represents the growth

The value of y = 551.25, and value of x = 2

Putting values and solving:

$y=500(r)^x\\551.25 = 500(r)^2\\551.25/500 =(r)^2\\1.1025 = (r)^2\\Taking square root on both sides\\\\\sqrt{1.1025}=\sqrt{(r)^2}\\ => (r) = 1.05\\$

Putting value of r in the equation

$y=500(r)^x$

$y=500(1.05)^x$

So Option 2 is correct.

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