A store 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?
f(n) = f(n − 1) ⋅ 0.6 + 48, n > 0
f(n) = 250 − f(n − 1) ⋅ 0.4 + 48, n > 0
f(n) = f(n − 1) ⋅ 0.4 + 48, n > 0
f(n) = 250 − f(n − 1) ⋅ 0.6 + 48, n > 0
f(n) = f(n − 1) ⋅ 0.6 + 48, n > 0
no its wrong
thx so much :))))
was is the right answer?
IS THIS THE RIGHT ANSWER I AM EXTREMELY STUCK ON THIS AND I RLLY NEED THIS ANSWER (Not to be desperate but...) I would really appreciate if someone could verify if its the right one :D
To find the recursive function that represents the number of bottles of water in the store, we need to consider the information given in the problem:
- Each week, 40% of the bottles are sold.
- 48 new bottles arrive in shipments.
Let's break it down step by step:
1. Start with f(0) = 250. This represents the initial number of bottles in the store.
2. For each subsequent week, we need to determine the number of bottles based on the previous week's count.
3. Each week, 40% of the bottles are sold. This means that 60% of the bottles remain in the store, or 0.6 times the previous number of bottles.
4. Additionally, 48 new bottles arrive in shipments. This means we need to add 48 bottles to the store each week.
Putting these steps together, the recursive function that represents the number of bottles of water in the store, given f(0) = 250, is:
f(n) = f(n − 1) ⋅ 0.6 + 48, where n > 0
Therefore, the correct option is:
f(n) = f(n − 1) ⋅ 0.6 + 48, n > 0