The number of visitors at a county fair grows at an annual rate of about \( 1.3 \% \). This year, the number of visitors was 12,304 . About how many visitors are expected 6 years from now? "Use the formula below. Round to the nearest whole. \( f(x)=a(1+r)^{t} \) 13,295 25,616 \( 1,821,434 \) 17,654

To calculate the expected number of visitors in six years, you can use the formula \( f(x)=a(1+r)^{t} \), where \( a \) is the current number of visitors (12,304), \( r \) is the growth rate (1.3% or 0.013), and \( t \) is the number of years (6). Plugging in the numbers, we get: \[ f(6) = 12,304(1 + 0.013)^{6} \] \[ f(6) = 12,304(1.013)^{6} \approx 12,304 * 1.0802 \approx 13,273.7 \] Rounding to the nearest whole number, you can expect about 13,274 visitors in six years, so the closest option is 13,295. If you’re ever calculating growth like this, remember that compounding can sneak up on you! Each time period adds a bit more than the last because you’re growing on a growing number. Always double-check your calculations to avoid underestimating or overestimating your results!