Question

In a game, a player gets 15 points for a correct answer and loses 10 points for an incorrect answer. The expression 15c−10a represents the total for c correct and a incorrect answers. How many points are scored for 24 correct and 11 incorrect answers? Responses 470 470 - no response given 360 360 - no response given 110 110 - no response given 250 250 - no response given

Answer 1

To calculate the total points scored for 24 correct answers and 11 incorrect answers, we can use the formula given:

\[ \text{Total Points} = 15c - 10a \]

where \( c \) is the number of correct answers and \( a \) is the number of incorrect answers.

Substituting the values:

• \( c = 24 \)
• \( a = 11 \)

Now substituting into the formula:

\[ \text{Total Points} = 15(24) - 10(11) \]

Calculating each part:

1. Calculate \( 15(24) \): \[ 15 \times 24 = 360 \]

2. Calculate \( 10(11) \): \[ 10 \times 11 = 110 \]

Now substitute these values back into the total points calculation:

\[ \text{Total Points} = 360 - 110 \]

Finally, subtract the two numbers:

\[ \text{Total Points} = 250 \]

Thus, the player scores 250 points. The correct response therefore is 250.