# Algebra

A store had 50 bottles of olive oil. Each week, 40% of the olive oil bottles were sold and 20 new bottles arrived in shipments. Which recursive function best represents the number of bottles in the store, given that f(0) = 50?

f(n) = f(n − 1) ⋅ 0.6 + 20, n > 0

f(n) = 50 − f(n − 1) ⋅ 0.6 + 20, n > 0

f(n) = 50 − f(n − 1) ⋅ 0.4 + 20, n > 0

f(n) = f(n − 1) ⋅ 0.4 + 20, n > 0

1. 👍
2. 👎
3. 👁
1. f(1) = .6(50) + 20 = 30 + 20 = 50
f(2) = .6(50) + 20 = 50
f(3) = .6(50) + 20 = 50 forever and ever, good inventory planning

well try them, but you do not have to try many :)

1. 👍
2. 👎
👤
Damon
2. Calculate the first few terms using your description.
(If 40% are sold, then 60% remain)

f(0) = 50
f(1) = .6(50) + 20 , looks like f(1) = .6(f(0)) + 20 = 50

Well, isn't that special, the number of bottles remains at 50

#1 and #3 yield the same result

1. 👍
2. 👎
👤
Reiny

## Similar Questions

1. ### Math

solve the equation 1. y-5/3=1 a) -2

1. y minus five over three= 1 (1 point) –2 8 18 6 2. 6x + 29 = 5 (1 point) –4 –18 204 –144 3. Combine like terms: –21a + 16a (1 point) –5a 5a 37a –37a Simplify the expression. 4. 9a – b – 2a – 10b (1 point)

3. ### statistics

A bottling commpany produces bottles that hold 10 ounces of liquid . Periodically, the company gets complaints that their bottles are not holding enough liquid. To test this claim, the bottling company randomly samples 25 bottles

4. ### help

Tritium (H-3) has a half-life of 12.3 years. How old is a bottle of olive oil if the tritium content is 25% that of a new sample of olive oil? Show all calculations leading to a solution.

1. ### MATH HELP

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) =

2. ### Math

Check my answers please! 1. 6x + 29 = 5 A. -4 *** B. -18 C. 204 D. -144 2. Combine like terms: -21a + 16a A. -5a *** B. 5a C. 37a D. -37a 3. Simplify. 9a - b - 2a - 10b A. -7a + 11b B. 11a + 9b C. -11a - 9b *** D. 7a - 11b 4.

3. ### Math

The Smith family drinks 1 4/5 liters of apple juice each day. The apple juice is packed in 2-liter bottles. How many bottles does Mrs. Smith need to buy every week?

4. ### Ancient Greece 💝

What goods did Athens trade to other city-states and regions? A. glass B. timber C. grain D. olive oil It could be D and C

1. ### arithmetic

If i currently have 12 bottles of water on my shelf, and want to keep a minimum level of 6 bottles at all times. I have an average sale 2 per day. What is the minimum number i would order for enough bottles for 7 days? thanks.

2. ### mathematics

A beverage stall has 70 bottles of orange juice and 48 bottles of mango juice. Every day the stall uses 5 bottles of orange juice and 3 bottles of mango juice. After how many days, the remainder bottles of both juices are the

3. ### Science

A plastic block has sides that measure 4 centimeters, 2 centimeters, and 3 centimeters. Its mass is 19.2 grams. Predict whether the block will float in water. Will it float in olive oil?

4. ### Mathematics

Jason made 34 bottles of flavored olive oil to give to his class. How many pints of flavored olive oil did Jason make if each bottle holds 8 fluids ounces?