Question

the graph represents the direct variation function between earnings in dollars and hours worked.

which equation can be used to describe the direct variation function between (e), the total earnings in dollars, and (h), the number of hours worked?

(e = 1.5h)
(e = 7.5h)
(e = 13h)
(e = 15h)

Explanation:

Identify a point on the graph

$$ (h, E) = (8, 60) $$

Calculate the constant of variation

$$ k = \frac{E}{h} = \frac{60}{8} = 7.5 $$

Formulate the direct variation equation

$$ E = 7.5h $$

Answer:

• (A) \(E = 1.5h\)
• (B) \(E = 7.5h\) (Correct answer)
• (C) \(E = 13h\)
• (D) \(E = 15h\)