Problemas
The water in a pool is evaporating at a rate of 5% per day. If the pool has 15,600 gallons in it today, how many gallons will it have in 11 days? Round your answer to the nearest whole number, if necessary. Answer How to enter your answer (opens in new window)
Roztwór
Brenda
maestro · Tutor durante 5 años
3.7
(229 Votos)
Respuesta
To solve this problem, we need to use the formula for exponential decay, which is:
Where:-
is the amount of water remaining after
days.-
is the initial amount of water.-
is the daily rate of evaporation (as a decimal).-
is the number of days.Given:-
gallons-
(5% per day)-
daysPlugging these values into the formula:
Now, calculate \( (0.95)^{11} \):
Then multiply by the initial amount:
So, the pool will have approximately 8,800 gallons of water in 11 days.