4)Rudy collects baseball cards, and he currently has 300 cards. Starting tomorrow, he will purchase 1 pack of 15 baseball cards every day, and every pack he purchases will contain 1 card of a member of his brother’s favorite team. Every time Rudy purchases a pack of cards, he will immediately trade the card of the member of his brother’s favorite team to his brother for 3 cards of members of a different team. Which of these recursive formulas produces the sequence that represents the number of baseball cards that Rudy will have at the end of each day, starting today?

A) t1 = 300, tn = tn-1 + 17, where n ∈ N and n > 1

B) t1 = 315, tn = tn-1 + 18, where n ∈ N and n > 1

C) t1 = 317, tn = tn-1 + 17, where n ∈ N and n > 1

D) t1 = 318, tn = tn-1 + 17n, where n ∈ N and n > 1

WILL GIVE BRANLIEST IF RIGHT

Questions 9-10. use the table of educational expenditures to answer the questions. k-12 education expenditures population indiana $9.97 billion 6.6 million illinois $28.54 billion 12.9 million kentucky $6.58 billion 4.4 million michigan $16.85 billion 9.9 million ohio $20.23 billion 11.6million 9. if the amount of k-12 education expenses in indiana were proportional to those in ohio, what would have been the expected value of k-12 expenditures in indiana? (give the answer in billions rounded to the nearest hundredth) 10. use the value of k-12 education expenditures in michigan as a proportion of the population in michigan to estimate what the value of k-12 education expenses would be in illinois. a) find the expected value of k-12 expenditures in illinois if illinois were proportional to michigan. (give the answer in billions rounded to the nearest hundredth) b) how does this compare to the actual value for k-12 expenditures in illinois? (lower, higher, same? )