Piano Linear Equation Word Problem

QUESTION:

Janet bought an electric piano for $850. 3 years later, the value of the piano is now $1168.50.

A) Write the equation of this scenario in function notation.

B) How much is the piano’s value after 8 years?

SOLUTION:

SELF-ASSESMENT:

Creative Thinking:

The inspiration for this problem came from my love for music. I’ve always loved the piano and thought using it in my problem would be neat and interesting to solve. I don’t mean for this problem to be challenging, which is also why I chose something simple. I chose the image at the top because it’s the keys of a piano, which is a part of the item my problem is about. I was hoping to get a full picture of a piano, but I like how the image looks when it is just focusing on the keys of the piano. I did not draw it and got it from searching up an electric piano on the internet using the filter “All Creative Commons”.

Critical Thinking: I got my information by looking at the official Best Buy website and searching up “electric pianos” to get good prices for my problem. The piano I used is Roland FP-10 88-Key Weighted Hammer Action Digital Piano – Black | Best Buy Canada.

I made sure my equations worked out by trying out different questions. First, I did a deprecation question, lowering the amount after a few years. I changed that question because I felt like the answer was wrong, and it didn’t really make sense. So, I changed the question to an appreciation question, and made the price go up after a few years. When I solved the question, it made sense. The question always was simple, and my equations were always right, which is why I kept my question like this. Honestly, I felt like it made more sense as well for the question, because I feel like depending on the brand, the electric piano would increase in price because of its rarity to some people.