Math Problem of the Week - Algebra and Up - Jan. 30, 2022 to Feb. 5, 2022

Algebra and Up: 

Question: The value of a painting increase by 2% each year. If the painting is worth $1,000.00 today, how much was it worth exactly 50 years ago?

Answer: $371.53

Solution: We can model the increasing value of the painting with the expression x × 1.02⁵⁰, wherein x is the starting value of the painting, 1.02 represents the percent increase, and 50 is the elapsed time. We know that after the 50 years, the painting is worth $1,000, so $1,000 = x × 1.02⁵⁰. To solve for x, we divide $1,000 ÷ 1.02⁵⁰ = $371.53 (remember to round to the next cent).