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Please explain your answer to the question in the picture with steps, thank you.

Please explain your answer to the question in the picture with steps, thank you.-example-1

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Answer:

(a) y = x/8

(b) y = 7/8

Explanation:

You want a direct variation equation that relates x and y, given y = 2 when x = 16.

(a) Direct variation

The equation for direct variation is usually written in the form ...

y = kx

where k is the constant of proportionality.

The value of k can be found from ...

k = y/x . . . . divide by x

For the given values, k is ...

k = 2/16 = 1/8

The direct variation equation is ...

y = (1/8)x

(b) Find y

The value of y for x=7 is found by substituting 7 for x in the equation above:

y = (1/8)·7

y = 7/8

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User Wyll Sales
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