Answer:
27.25408 grams
Explanation:
For each year, we subtract 8% of the sugar content. Therefore, for the first year, we subtract 8% from the original sugar content of 35 to get
sugar content - 8% of the sugar content = 35 - 8% of 35 = 35 - 0.08 * 35 = 1 * 35 - 0.08 * 35 = 0.92 * 35. It can therefore be concluded that subtracting 8% of the sugar content is the same as multiplying the current sugar content by 0.92. We do this every year, so the second year is (0.92 * 35) * 0.92 and the third year is ((0.92 * 35) * 0.92) * 0.92 = 27.25408 grams
A pattern develops, and that is that we multiply by 0.92 each year. Therefore, for x years, we multiply by 0.92 x times or 0.92ˣ as a whole. Therefore, our equation can be written as 0.92ˣ * original amount = 0.92ˣ * 35