Question

C) On Friday, the employee fills the tank beginning at exactly 8:00 am using only one hose. The function

F(x)=5-√√x+10 models the water level of the tank on Friday, where x is the number of minutes after 8:00.
i. Describe how the tank filling on Friday was different from the tank filling on Monday.
ii. Find the domain and range of F(x) in the context of the story.

Answer 1

Explained

Explanation:

The tank filling on Friday was different from the tank filling on Monday in several ways. First, the function that models the water level on Friday is different from the function that models the water level on Monday. Second, on Friday, the employee fills the tank beginning at exactly 8:00 am using only one hose, whereas on Monday, the tank was already partially filled and the employee added water to it throughout the day

.ii. In the context of the story, the domain of F(x) represents the number of minutes after 8:00 am that the tank is being filled on Friday. Since the employee begins filling the tank at exactly 8:00 am and the function is defined for x ≥ 0, the domain is [0, ∞).The range of F(x) represents the water level of the tank on Friday, and is therefore given by the range of the function. Since √√x+10 is always non-negative, F(x) is always between 5 and 6. Therefore, the range of F(x) is [5, 6).