Astore had 250 bottles of water. each week, 40% of the bottles were sold and 48 new bottles arrived in shipments. which recursive function best represents the number of bottles of water in the store, given that f(0) = 250? a: f(n) = f(n − 1) ⋅ 0.6 + 48, n > 0 b: f(n) = 250 − f(n − 1) ⋅ 0.4 + 48, n > 0 c: f(n) = f(n − 1) ⋅ 0.4 + 48, n > 0 d: f(n) = 250 − f(n − 1) ⋅ 0.6 + 48, n > 0

Let f(n) represent the number of bottles in the store on n-th week.

When n=0, f(n)=250.

Then  40% of the bottles were sold, this means that were sold 250·0.4=f(n)·0.4. The amount of bottles left is 250-250·0.4=f(n)-f(n)·0.4=f(n)·0.6.

If 48 new bottles arrived in shipments, then the amount of bottles became

f(n)·0.6+48=f(n+1).

Since n>0, then

f(n)=f(n-1)·0.6+48.

correct choice is A.

c. 4 and 1/2 pounds is the answer! : )

step-by-step explanation:

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