Seven years ago, kodi found a box of old baseball cards in the garage. since then, he has added a consistent number of cards to the collection each year. he had 52 cards in the collection after 3 years and now has 108 cards. kodi looking into his box of baseball cards. how many cards were in the original box? is this t (0) or t (1) ? write the first few terms of the sequence. kodi plans to keep the collection for a long time. how many cards will the collection contain 10 years from now? write an equation that determines the number of cards in the collection after n years. what does each number in your rule represent?

Question

Mathematics

Wendy Gregory

17 February, 11:57

Seven years ago, kodi found a box of old baseball cards in the garage. since then, he has added a consistent number of cards to the collection each year. he had 52 cards in the collection after 3 years and now has 108 cards. kodi looking into his box of baseball cards. how many cards were in the original box? is this t (0) or t (1) ? write the first few terms of the sequence. kodi plans to keep the collection for a long time. how many cards will the collection contain 10 years from now? write an equation that determines the number of cards in the collection after n years. what does each number in your rule represent?

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Answers (1)

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Raiden · Answer 1

(3,52) (7,108)

slope = (108 - 52) / (7 - 3) = 56/4 = 14

y = mx + b

slope (m) = 14

(3,52) ... x = 3 and y = 52

sub and find b, the y int (the original amount of cards)

52 = 3 (14) + b

52 = 42 + b

52 - 42 = b

10 = b

so ur equation is y = 14x + 10 ... with x being the number of years and y being the total cards. < = = ur equation is y = 14x + 10

He started with 10 cards ... and has been adding 14 cards every year.

so after 10 years ...

y = 14 (10) + 10

y = 140 + 10

y = 150 < = = after 10 years, he will have 150 cards