Question

A cottage industry exists in the home-manufacture of 'country crafts'. Especially treasured are handmade quilts. If the fourth completed quilt took 30 hours to make, and the eighth quilt took 28 hours. What is the percentage learning? Hint: Percentage learning = 100% - (c2/c1)•100%.

a. 5%
b. 6.7%
c. 10%
d. 100%
e. 122%

Answer 1

The percentage learning between the fourth and eighth quilts is calculated using the time taken to make each quilt. It results in a 6.7% improvement from the fourth to the eighth quilt, option b.

Step-by-step explanation:

The student has asked about the calculation of the percentage learning based on the time it took to complete two different quilts. To calculate the percentage learning, we use the given formula: Percentage learning = 100% - (c2/c1) • 100%. The time it took to make the fourth quilt (c1) is 30 hours, and the time for the eighth quilt (c2) is 28 hours.

Applying the values to the formula, we have:

Percentage learning = 100% - (28/30) • 100%

Percentage learning = 100% - 0.9333 • 100%

Percentage learning = 100% - 93.33%

Percentage learning = 6.67%

Therefore, the percentage learning is 6.7%, which corresponds to option b.