Final answer:
To find the estimated number of people attending the Gasparilla Pirate Festival in 2024, calculate f(4)=300(1.06)^4, which equals 378 thousand. The domain of the function is non-negative integers, and the range is real numbers greater than 300 thousand.
Step-by-step explanation:
The function f(x)=300(1.06)^x represents the growth of attendance at the Gasparilla Pirate Festival in Tampa, where 'x' represents the number of years after 2020. To calculate the number of people attending in 2024, which is 4 years after 2020, you would plug in 4 for 'x' in the equation: f(4)=300(1.06)^4.
First, calculate (1.06)^4, which is approximately 1.2625. Then multiply this by 300 to get the estimated number of people (in thousands) attending the parade: f(4)≈300×1.2625≈378 thousand.
As for the domain and range of the function, the domain is all non-negative integers because you cannot have a negative number of years after 2020. The range is all real numbers greater than 300 since the attendance will always be growing assuming a 6% annual increase.