In a game, a player gets 15 points for a correct answer and loses 10 points for an incorrect answer. The expression 15c−10a

Question

represents the total for c
correct and a
incorrect answers. How many points are scored for 24 correct and 11 incorrect answers?(1 point)
Responses

250
250

360
360

470
470

110

Answer 1

To find the total points scored for 24 correct answers and 11 incorrect answers using the expression \( 15c - 10a \), we can substitute \( c = 24 \) and \( a = 11 \) into the expression.

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

First, calculate \( 15(24) \): \[ 15 \times 24 = 360 \]

Next, calculate \( 10(11) \): \[ 10 \times 11 = 110 \]

Now, substitute these results back into the expression: \[ \text{Total Points} = 360 - 110 \] \[ = 250 \]

Thus, the score for 24 correct and 11 incorrect answers is \( \boxed{250} \).