The equation π¨(π) = ππ β π. πππ represents the amount of money remaining, π¨, on a customerβs card after playing π games.
To determine the initial amount on the card, we need to substitute π=0 into the equation π¨(π) = ππ β π. πππ and solve for π΄.
When π=0, π¨(0) = ππ β π. ππ(0)
Simplifying, π¨(0) = ππ β π
Therefore, the initial amount on the card is $15.
To determine the amount earned or spent per game, we need to determine the change in the amount after one game. We can do this by subtracting the amount after one game from the initial amount.
π¨(1) = ππ β π. ππ(1)
Simplifying, π¨(1) = ππ β π. ππ
Therefore, each game costs $0.50.
The correct statement is:
B. The initial amount on the card is $15, and each game costs $0.50.
An arcade offers customers the option to put money on pre-paid cards and then swipe their cards to pay for each game played. Games also award customers with tickets dispersed at regular intervals while playing each game.
The equation π¨(π) = ππ β π. πππ represents the amount of money remaining, π¨, on a customerβs card after playing π games. Which statement is true?
A. The initial amount on the card is $15, and $0.50 is earned for each game.
B. The initial amount on the card is $15, and each game costs $0.50.
C. The initial amount on the card is $50, and $0.50 is earned for each game.
D. The initial amount on the card is $50, and each game costs $0.15.
1 answer