Question 2 of 9, step 1 of 1 The total attendance at a science museum is modeled by the function \( f(x)=12,552(1.036)^{x} \). If the initial total attendance (that is, the total attendance when \( x=0 \) ) was measured January 1,2013 , what was the initial total attendance? Keyp Answer How to enter your answer (opens in new window) Keyboard Short people

When \( x=0 \), we can substitute into the function \( f(x) \) to find the initial total attendance. This gives us \( f(0) = 12,552(1.036)^0 = 12,552 \times 1 = 12,552 \). So, the initial total attendance on January 1, 2013, was 12,552 people. It’s fascinating how functions like this can model growth over time! Using an exponential function allows you to predict future attendance based on trends. This model suggests a steady increase, which might lead to vibrant exhibits, more engaging programs, or even a larger space to accommodate those curious minds flocking to the museum!