The amount of money a worker makes varies directly with the hourly rate of pay. Worker A earns $168 for an 8-hour period. Worker B earns the same hourly rate as Worker A but works for only 6 hours. What does Worker B earn?

Question

Responses
A $1008$1008
B $126$126
C $1344$1344
D $160

Answer 1

Since the amount of money a worker makes varies directly with the hourly rate of pay, we can set up a proportion to solve for Worker B's earnings.

The proportion is $\frac{\text{Worker A's earnings}}{\text{Worker A's hours}} = \frac{\text{Worker B's earnings}}{\text{Worker B's hours}}$.

Substituting the given values, we have $\frac{168}{8} = \frac{\text{Worker B's earnings}}{6}$.

Cross-multiplying, we get $6 \cdot 168 = 8 \cdot \text{Worker B's earnings}$.

Simplifying, we have $1008 = 8 \cdot \text{Worker B's earnings}$.

Dividing both sides by 8, we find $\text{Worker B's earnings} = \boxed{126}$. Therefore, the answer is $\boxed{\text{(B)}}$