Answer:
Step-by-step explanation:
Water in the pool is leaking at a rate of 4 gallons per day. This rate is linear. It is decreasing in an arithmetic progression. The formula for finding the nth term of an arithmetic progression sequence is
Tn = a + (n-1)d
Where
Tn is the nth term of the sequence
n is the number of terms
d is the common difference
a is the first term of the sequence
From the information given ,
The pool holds 17,922 gallons of water initially, so
a = 17922
d = - 4 because it is the rate at which the water is decreasing
n = 120 because we want to determine the number of
gallons of water that will remain in the pool after 120 days.
T120 is the amount that will remain in the pool after 120 days.
T120 = 17922 + (120-1) - 4
T120 = 17922 + 119 × - 4
T120 = 17446 gallons
