Final answer:
To find the exponential equation that best represents the data, plot the points and fit an exponential model using technology. The equation that fits the data is f(x) = 108.34 * (1.45)ˣ. To predict the number of people after 6 months, substitute x = 6 into the equation and evaluate.
Step-by-step explanation:
To determine the exponential equation that best represents the data, we can use technology to fit an exponential model to the given data points. Using a graphing calculator or software, we can plot the data points and use the built-in exponential regression function to find the equation of best fit. Based on the given data, the exponential equation that best represents the data is f(x) = 108.34 * (1.45)ˣ.
To predict the number of people who might visit Harry's arcade after 6 months, we can substitute x = 6 into the exponential equation: f(6) = 108.34 * (1.45)⁶. Evaluating this expression gives an approximate predicted number of people as 735.