Question

Addison learned to play a total of 8 pieces over the course of 4 weeks of piano lessons. After 8 weeks of piano lessons, how many total pieces will Addison be able to play? Assume the relationship is directly proportional.

Answer 1

Addison learned 8 pieces in 4 weeks, so assuming a directly proportional relationship, after 8 weeks, Addison will be able to play 16 pieces.

Step-by-step explanation:

If Addison learned to play a total of 8 pieces over the course of 4 weeks, we assume that the learning progress is directly proportional. This means that the number of pieces learned is directly related to the number of weeks of piano lessons.

To find out how many pieces Addison will be able to play after 8 weeks, we can set up a proportion because of the direct relationship. If 4 weeks corresponds to 8 pieces, then 8 weeks would correspond to x pieces. We can write the proportion as:

4 weeks / 8 pieces = 8 weeks / x pieces

By cross-multiplying, we get:

4 * x = 8 * 8

x = (8 * 8) / 4

x = 64 / 4

x = 16 pieces

Therefore, after 8 weeks of piano lessons, Addison will be able to play 16 pieces.