A store had 100 t-shirts. Each month, 30% of the t-shirts were sold and 25 new t-shirts arrived in shipments. Which recursive function best represents the number of t-shirts in the store, given that f(0) = 100?

Accepted Solution

Answer:[tex]f(a_n) = 0.7f(a_{n-1}) + 25[/tex]Step-by-step explanation:The number of t-shirts a in month n is 70% of the number of t-shirts in month n-1 plus 25 because they always sell 30% of the t-shirts and get 25 t-shirts in shipments. [tex]f(0)=100[/tex] can be included as an after-thought.