James is playing his favorite game at the arcade. After playing the game 33 times, he has 88 tokens remaining. He initially had 2020 tokens, and the game costs the same number of tokens each time. The number t of tokens James has is a function of g, the number of games he plays. Write the function's formula.

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JeanaShupp JeanaShupp · Answer 1 · 2019-12-25T05:13:46+01:00

Answer: [tex]t=20-4g[/tex]

Step-by-step explanation:

Given : James is playing his favorite game at the arcade.

After playing the game 3 times, he has 8 tokens remaining.

Initial number of tokens he had = 20

Also the game costs the same number of tokens each time.

Let x be the cost of each game .

Then according to the above information we have,

[tex]3x+8=20[/tex]

[tex]3x=12[/tex] [Subtract 8 from both sides]

x= 4 [Divide 3 from both sides]

i.e. the cost of each game = 4 tokens

Let g be the number of games he plays.

Then , the function of number t of tokens James has will be :

t= Initial tokens - (Tokens required for each game)(g)

[tex]t=20-4g[/tex]