The output of a plant is 4335 pounds of ball bearings per week (five days). If each ball bearing weighs 0.0113 g, how many ball bearings does the plant make in a single day? (Indicate the number in proper scientific notation with the appropriate number of significant figures. A) 2.91 × 10⁶ B) 867 C) 3.48 × 10⁷ D) 3.84 × 10⁵ E) 7.67 × 10⁴

Question

Quizplus · Accepted Answer

To find out how many ball bearings the plant makes in a single day, we need to divide the weekly output by the number of days in a week:

4335 lbs/5 days = 867 lbs/day

Next, we need to convert from pounds to grams:

867 lbs/day x (453.59 g/lb) = 393,070 g/day

Finally, we can divide by the weight of a single ball bearing to find the number of ball bearings produced per day:

393,070 g/day ÷ 0.0113 g/ball bearing = 3.48 × 10^17 ball bearings/day (to three significant figures) or 3.48 × 10^14 ball bearings/day (to one significant figure).

Therefore, the best choice is C: 3.48 × 10^14.

The Output of a Plant Is 4335 Pounds of Ball