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

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To find the initial total attendance at the science museum, we need to evaluate the function $$ f(x) $$ at $$ x = 0 $$.

The function is given by:

$$
f(x) = 12,552(1.036)^{x}
$$

Now, let's substitute $$ x = 0 $$ into the function:

$$
f(0) = 12,552(1.036)^{0}
$$

Since any number raised to the power of 0 is 1, we have:

$$
f(0) = 12,552 \cdot 1 = 12,552
$$

Thus, the initial total attendance at the science museum on January 1, 2013, was **12,552 people**.
The initial total attendance was 12,552 people.

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