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Suppose the depth of a lake can be described by the function y = 323(0.976)x, where x represents the number of weeks from today. Today, the depth of the lake is 323 ft. What will the depth be in 6 weeks? Round your answer to the nearest whole number. The depth of the lake will be ft. in 6 weeks

Respuesta :

Answer:

The dept of the lake will be 279 ft in 6 weeks

Step-by-step explanation:

We are given that the depth of a lake can be modeled by the function

[tex]y = 323(0.976)^{x}[/tex]

Where x is the number of weeks and y is the depth of lake in feet

The depth of the lake today is (x=0)

[tex]y = 323(0.976)^{0}[/tex]

[tex]y=323[/tex] [tex]ft[/tex]

The depth of the lake after 6 weeks will be (x=6)

[tex]y = 323(0.976)^{6}[/tex]

[tex]y = 323(0.864)[/tex]

[tex]y=279[/tex] [tex]ft[/tex]

Therefore, the dept of the lake will be 279 ft in 6 weeks.

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