Let's analyze each statement based on the population model \( p(t) = 60(0.92)^t \):
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Statement #1: As t increases, p increases slowly at first, then quickly.
- False: The function models a decreasing population, so as \( t \) increases, \( p(t) \) actually decreases, and it does so at a decreasing rate rather than increasing.
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Statement #2: The y-intercept is greater than 0.
- True: When \( t = 0 \), \( p(0) = 60(0.92)^0 = 60 \), which is greater than 0.
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Statement #3: There is a horizontal asymptote at p=0.
- True: As \( t \) approaches infinity, \( p(t) \) approaches 0, so there is a horizontal asymptote at \( p = 0 \).
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Statement #4: As t increases, p decreases at a decreasing rate.
- True: Since the population is modeled with the function \( p(t) = 60(0.92)^t \), the derivative \( p'(t) \) will show that the rate of decrease is less as \( t \) increases, indicating a decreasing rate of decrease.
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Statement #5: The p-values include all real numbers.
- False: The population \( p(t) \) cannot be negative; it only takes non-negative values.
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Statement #6: The graph decreases without bound as t approaches positive infinity.
- False: While the population decreases, it approaches the asymptote at \( p=0 \) but never actually becomes negative.
Thus, the true statements are 2, 3, and 4.
Therefore, the correct response is:
The true statements are 2, 3, and 4.