Bobby's uncle gave him 300 basketball cards each week Bobby purchased 40 basketball cards to add to his collection which i n e q u a l i t y can be used to find w the number of weeks after starting his collection when Bobby will have more than 700 baseball cards in his collection

1 answer

Let's call the number of weeks after starting his collection as "w".
Each week, Bobby's uncle gives him 300 basketball cards.
Therefore, in w weeks, Bobby will have received 300w basketball cards from his uncle.
Each week, Bobby also purchases 40 basketball cards to add to his collection.
Therefore, in w weeks, Bobby will have purchased 40w basketball cards.
To find the total number of basketball cards in Bobby's collection after w weeks, we can use the inequality:
300w + 40w > 700.
Simplifying the inequality, we get:
340w > 700.
Dividing both sides of the inequality by 340, we get:
w > 700/340.
Performing the division, we get:
w > 2.06.
Since we cannot have a fraction of a week, we can conclude that Bobby will have more than 700 basketball cards in his collection after 3 or more weeks.