James is playing his favorite game at the arcade. After playing the game 3 times, he has 8 tokens remaining. He initially had 20 tokens, and the game costs the same number of tokens each time.
The number of tokens James has is a function of games, the number of games he plays.
Write the function's formula.
t=t=t, equals
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Answer:
t = 20 - 4g
( # tokens ) = 20 - 4 × ( # games played )
Step-by-step explanation:
Let t be the number of tokens that James has.
Let g be the number of games that James has played.
James starts with 20 tokens but he only has 8 tokens after 3 games
=> 3 games cost him 20-8 = 12 tokens
=> 1 games costs 4 tokens.
=> the cost of g games is 4g tokens
=> the number of tokens James has after g games is 20 - 4g
=> t = 20 - 4g
and this expresses t (the number of tokens) as a function of g (the number of games he plays)
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