Solve the problem.
-The number $G$ of gears a machine can make varies directly as the time $T$ it operates. If it can make 2706 gears in 14 hours, how many gears can it make in 3 hours?
A) 2723 gears
B) 579.86 gears
C) 193.29 gears
D) 0.0155 gears

Question

Quizplus · Accepted Answer

The relationship between the number of gears $G$ and the time $T$ is direct, meaning $G = kT$, where $k$ is the constant of proportionality. Given $G = 2706$ when $T = 14$, we find $k = 2706 / 14 = 193.29$. For $T = 3$ hours, $G = 193.29 \times 3 = 579.87$, which rounds to $579.86$ gears.

Solve the Problem GGG Of Gears a Machine Can Make Varies Directly as the Can

Solve the Problem $G$ Of Gears a Machine Can Make Varies Directly as the Can