Question

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?
a. f(n ) = f(n - 1) • 0.4 + 48, n > 0.
b. f(n ) = 250 - f(n - 1) • 0.4 + 48, n > 0.
c. f(n ) = f(n - 1) • 0.6 + 48, n > 0.
d. f(n ) = 250 - f(n - 1) • 0.6 + 48, n > 0.

Answer 1

Given: 
Initial number of bottles = 250
Every week = 40% is sold and 48 bottles arrive.

Week1 = 250 - (250 x 0.40) + 48 = 250 - 100 + 48 = 198
Week 2 = 198 - (198 x 0.40) + 48 = 198 - 79 + 48 = 167

Answer is: c. f(n ) = f(n - 1) • 0.6 + 48, n > 0. 

Answer 2

Answer:

The correct answer is c