Question

Dylan started with 10,000 baseball cards to sell. In each subsequent week, Dylan started with approximately 85% of the previous week's starting number of cards. What is the explicit rule for the number of cards Dylan starts with in week n and approximately how many cards will he start with in the 6th week? Round to the nearest card. Drag and drop the answers into the boxes to match the situation. Explicit rule Amount of cards after the 6th week.

Answer 1

Number of cards at week n = 10,000(0.85)^(n-1).

At week 6 Dylan has 4437 cards.

Explanation:

At the start of week 1 he had 10,000 = 10,000(0.85)^0 cards.

So at the start of week 2 he had 10,000(0.85)^(2-1) cards.

Number of cards for week n = 10,000(0.85)^(n-1).

Number of he will have at the start of the 6th week

= 10,000(0.85)^(6-1)

= 4437 cards (answer).