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The total distance for traveling to a local conference can be found by 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 the situation.

User Jprebys
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Final answer:

The domain for the situation, where the function y=25x+65 represents the total distance to a local conference and x is the miles driven, is [9, 16]. To determine the range, we evaluate the function at the domain endpoints, yielding a range of [290, 465].

Step-by-step explanation:

The total distance traveled to a local conference is represented by the function y=25x+65, where x is the number of miles driven.

Given that most employees drive between 9 and 16 miles, we can find the domain and the range for the situation.

The domain is the set of all possible input values, which in this case is the number of miles driven (x). Since employees drive between 9 and 16 miles, the domain is [9, 16].

To find the range of the function, we need to evaluate it at the endpoints of the domain.

For x=9: y=25(9)+65=290. For x=16: y=25(16)+65=465. Thus, the range is [290, 465] which represents the total distance traveled.

User Rhellem
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