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Answer :

Given:

The current volume of the lake is 198,000 gallons.

Its volume grew by 3000 gallons every week

To find: An equation modeling the number of gallons in the lake after some weeks.

Explanation:

As we know,

If the growth or decay involves increasing or decreasing by a fixed number, then we must use a linear function.

Here, the increasing rate is 3000.

The current volume is 198,000 gallons.

Thus, the linear function that represents this situation is,

[tex]V=3000w+198000[/tex]

Where w represents the number of weeks and V represents the volume.

Final answer:

The equation is,

[tex]V=3000w+198000[/tex]

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