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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]