Question

The total distance for traveling to a local conference can be found using the function y=25x+65, where x is the number of miles driven. If most employees drive between 9 and 16 miles, find the domain and range of this situation.

Answer 1

The domain for the function representing the total distance traveled to a local conference is [9, 16] and the corresponding range is [290, 465] when considering employees driving between 9 and 16 miles.

Step-by-step explanation:

The student is asking a question about the function y=25x+65, which represents the total distance traveled to a local conference, with x being the number of miles driven. The domain of this function, based on the context of the question where employees drive between 9 and 16 miles, is [9, 16]. To find the range, we can plug the values 9 and 16 into the function to get the minimum and maximum values respectively.

For x=9, y=25(9)+65=290, and for x=16, y=25(16)+65=465. Therefore, the range is [290, 465].