The number $G$ of gears a machine can make varies directly as the time $T$ it operates. If it can make 7665 gears in 4 hours, how many gears can it make in 2 hours?
A) 1 gears
B) 7671 gears
C) 1916 gears
D) 3833 gears

Question

Quizplus · Accepted Answer

Since the number of gears $G$ varies directly with time $T$, we have $G = kT$ for some constant $k$. Given $G = 7665$ when $T = 4$, we find $k = \frac{7665}{4} = 1916.25$. For $T = 2$, $G = 1916.25 \times 2 = 3833$.

The Number GGG Of Gears a Machine Can Make Varies Directly as the Directly

The Number $G$ Of Gears a Machine Can Make Varies Directly as the Directly