Math

QuestionA pond starts with 300 liters and fills at 29 liters/min. Write WW in terms of TT and find WW after 17 minutes.

Studdy Solution

STEP 1

Assumptions1. The initial amount of water in the pond is300 liters. Water is being added at a constant rate of29 liters per minute3. We denote the total amount of water in the pond (in liters) as WW
4. We denote the total number of minutes that water has been added as $$

STEP 2

We can write an equation relating WW to $$ based on the given conditions. The total amount of water in the pond at any given time is the initial amount of water plus the amount of water added, which is the rate of water being added times the time.
W=Initialamount+(RateofwateraddedtimesTime)W = Initial\, amount + (Rate\, of\, water\, added \\times Time)

STEP 3

Now, plug in the given values for the initial amount of water and the rate of water being added.
W=300+(29times)W =300 + (29 \\times)

STEP 4

This is the equation relating WW to $$. It tells us that for every minute that passes,29 liters of water are added to the initial300 liters in the pond.

STEP 5

To find the total amount of water after17 minutes, we substitute =17 =17 into our equation.
W=300+(29times17)W =300 + (29 \\times17)

STEP 6

Calculate the total amount of water.
W=300+(29times17)=793W =300 + (29 \\times17) =793So, after17 minutes, there will be793 liters of water in the pond.

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