Answer :
The amount of Linus's money spent on 200 rounds of arcade game is $55.
The given question is incomplete, so
Lets suppose that Linus has played 200 round of arcade game and now we will need to determine the amount of Linus's money spent on 200 rounds of arcade game.
Entrance fee of an arcade = $5
Additional cost to play one round = $0.25
With the help of given equation ( C=0.25r+5 ) we will determine the amount of Linus's money spent on 200 rounds of arcade game.
'C' = The relationship between the amount of Linus' money spent
'r' = The number of rounds of arcade games played
Let's solve the equation now,
As we know that r is number of rounds Linus has played which is 200 rounds.
So, C = 0.25r+5
C = 0.25 × 200 + 5
C = 50 + 5
C = $55
Hence, we got that Linus has spent total $55 on 200 rounds of arcade game.
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To increase his total money spent by an additional $2 after the initial $5 fee, Linus must play 8 rounds of arcade games.
The given scenario involves a fixed fee and a variable cost for playing each round of an arcade game. To find out how many rounds Linus needs to play to increase his amount of money spent by $2, we need to refer to the cost model C = 5 + 0.25r, where C is the total cost and r is the number of rounds played. The increase in cost by $2, while already having paid the $5 entry fee, implies playing additional rounds. So, we need to solve for r in the equation 2 = 0.25r.
Dividing both sides by 0.25 gives us:
r = 2 / 0.25
r = 8
Thus, Linus needs to play 8 rounds to increase his spending by $2 after the initial entry fee.
