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aev [14]
3 years ago
7

Y varies directly as x, and y = 22.5 when x = 0.9. Write a direct variegation equation for this situation

Mathematics
1 answer:
aliina [53]3 years ago
4 0

Answer:

y=25x

Step-by-step explanation:

<u>Function Models</u>

There are times where we are interested in expressing data sets into mathematic models. One of the most commonly used is the linear model, where the dependent variable has a linear relation with the independent variable. A special case of a linear model is the direct relation or proportion, where the variables relate in the form:

y=kx

Where k is an arbitrary constant.

We know y=22.5 when x=0.9. This can be used in the equation above to find the value of k:

22.5=k(0.9)

Solving for k:

\displaystyle k=\frac{22.5}{0.9}=25

The equation that models the relation is:

\boxed{y=25x}

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Step-by-step explanation:

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