in a resort town, the number of people employed during any given month, f(x) in thousands, can be modeled by function f(x) = 2.3 sin 30 (x+1) + 5.5, where x represents the month, with january =1 and february =2 and so one
To find the number of people employed in the resort town during a specific month, you can use the given function f(x) = 2.3 sin 30 (x+1) + 5.5, where x represents the month.
Here's how you can apply this function to find the number of people employed in a specific month:
1. Identify the month you want to find the number of people employed for. For example, let's choose May, which corresponds to x = 5.
2. Substitute the value of x into the function. In this case, we have:
f(5) = 2.3 sin 30(5+1) + 5.5
3. Calculate the value inside the sine function:
30(5+1) = 30(6) = 180
4. Calculate the sine value:
sin 180 = 0 (since sine of 180 degrees is 0)
5. Substitute the sine value back into the function:
f(5) = 2.3(0) + 5.5
f(5) = 0 + 5.5
f(5) = 5.5
Therefore, according to the given function, the number of people employed in the resort town during May (x = 5) is 5.5 thousand.
Note: Since the function models the number of people employed in thousands, the answer is given in thousands as well.