Jim's Market couldn't keep Crunchy Critter Crackers in stock. Jim started with 300 boxes but everyone wanted them. The first day Jim sold 6 boxes, and on the second day he sold 14 boxes. Each day 8 more boxes were sold than the day before. So after two days, he had sold 20 boxes. If he kept selling the crackers at this rate, when would Jim run out of Crunchy Critter Crackers?
+128475 Let the first term = 6
Let the number sold on the nth day be 8n
And we need to solve this inequality
[ 6 + 8n ] * ( n/ 2) ≤ 300
(3 + 4n)n ≤ 300
4n^2 + 3n - 300 ≤ 0
Let n = x and see the graph here : https://www.desmos.com/calculator/d24dtkqwy0
It shows that he runs out after about 8.3 days
