The length, l, of the shadow cast by an object varies directly as the height, h, of the object. If k is the constant of variation, which equation represents this situation?

A.
l + h = k
B.
lh = k
C.
l = hk
D.
l = h + k

Respuesta :

Answer:

C. l = hk

Step-by-step explanation:

the equation for direct variation is y = xk (or y/x = k) so you just replace y and x with l and h

The length of the shadow cast l represents by situation l = hk. Hence, option (C) is correct.

What is the linear relation of an equation?

An equation has a linear relation if a variable from that equation varies linearly with the other variable.

for example, x is varied linearly with y then we can write

x ∝ y

x = yk where k will be the constant of variation.

Given that length, l is varies directly as the height h

Hence, l = hk will be the correct representation.

For more information about direct variation.

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