Answer :
The value of x found by expressing the information as an equation is 100
What is an equation?
An equation is a statement usually made using mathematical symbols, numbers and variables, that consists of joining two expressions with an 'equals' sign.
The volume of water in the aquifer = 146,000 ft³
The rate at which water exits the aquifer daily = 500 ft³ per day
Rate at which the aquifer is replenished = x ft³ per day
The time it takes the water to be used up = 1 year
The number of days in a year = 365 days
The value of x can be found by expressing the information as an equation as follows;
The sum of the volume of water in the aquifer and the volume of water that replenishes the aquifer in a year, less the water that exits the aquifer in a year is zero, therefore;
Water in the aquifer; 146,000 - 500 × 365 + x × 365 = 0
-36500 + 365·x = 0
365·x = 36500
x = 36500 ÷ 365 = 100
x = 100
The value of x is 100
The water is replenished at 100 cubic feet per day
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