Question
Question 17
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?
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1 point
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.
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?
*
1 point
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.
Answers
GPT-4o mini
To analyze the equation \( A(g) = 15 - 0.50g \):
- \( A(g) \) represents the amount of money remaining on the card.
- The term \( 15 \) indicates the initial amount on the card before playing any games.
- The term \( -0.50g \) shows that for each game played, $0.50 is deducted from the total amount on the card.
Now, let's evaluate the options:
A. The initial amount on the card is $15, and $0.50 is earned for each game.
- Incorrect. The initial amount is $15, but $0.50 is the cost (not earned) for each game.
B. The initial amount on the card is $15, and each game costs $0.50.
- Correct. The initial amount is $15, and the expression shows a deduction of $0.50 for each game played.
C. The initial amount on the card is $50, and $0.50 is earned for each game.
- Incorrect. The initial amount is $15, and $0.50 is not earned.
D. The initial amount on the card is $50, and each game costs $0.15.
- Incorrect. The initial amount is $15, and the cost per game is $0.50.
The true statement is **B**: The initial amount on the card is $15, and each game costs $0.50.
- \( A(g) \) represents the amount of money remaining on the card.
- The term \( 15 \) indicates the initial amount on the card before playing any games.
- The term \( -0.50g \) shows that for each game played, $0.50 is deducted from the total amount on the card.
Now, let's evaluate the options:
A. The initial amount on the card is $15, and $0.50 is earned for each game.
- Incorrect. The initial amount is $15, but $0.50 is the cost (not earned) for each game.
B. The initial amount on the card is $15, and each game costs $0.50.
- Correct. The initial amount is $15, and the expression shows a deduction of $0.50 for each game played.
C. The initial amount on the card is $50, and $0.50 is earned for each game.
- Incorrect. The initial amount is $15, and $0.50 is not earned.
D. The initial amount on the card is $50, and each game costs $0.15.
- Incorrect. The initial amount is $15, and the cost per game is $0.50.
The true statement is **B**: The initial amount on the card is $15, and each game costs $0.50.