Question

select the correct answer
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 )

Explanation:

Step1: Recall direct variation definition

Direct variation means one variable is a constant multiple of the other, so if $l$ varies directly as $h$, the relationship is $l = k \times h$ where $k$ is the constant of variation.

Step2: Match to given options

Compare the direct variation formula to the choices provided.

Answer:

C. $l = hk$