To calculate the future value of the house, you can use the given formula:
\[ S = C \times (1 + r)^t \]
Where:
- \( C = $133,000 \) (current value of the house)
- \( r = 0.02 \) (2% inflation rate in decimal form)
- \( t = 16 \) years
Substitute these values into the formula and calculate:
\[ S = 133,000 \times (1 + 0.02)^{16} \]
\[ S = 133,000 \times (1 + 0.02)^{16} \]
\[ S \approx 133,000 \times (1.02)^{16} \]
\[ S \approx 133,000 \times 1.359 \]
\[ S \approx 180,987 \]
Therefore, the house will be worth approximately $180,987 in 16 years, rounding to the nearest dollar.