Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

11 john and kamira are playing a game together. johns score (j) and kam…

Question

11 john and kamira are playing a game together. johns score (j) and kamiras score (k) after round one are shown on the number line. the score john and kamira record after round one is 2. what could this score represent? a the sum of the absolute value of johns score and the absolute value of kamiras score b the sum of johns score and kamiras score c the absolute value of the difference between johns score and kamiras score d the difference between johns score and kamiras score

Explanation:

Step1: Identify scores from number line

From the number line, John's score \( J = -5 \) and Kamira's score \( K = 7 \).

Step2: Analyze Option A

Sum of absolute values: \( |J| + |K| = | - 5| + |7| = 5 + 7 = 12
eq 2 \). So A is incorrect.

Step3: Analyze Option B

Sum of scores: \( J + K = - 5 + 7 = 2 \). This matches the given score of 2.

Step4: Analyze Option C

Absolute value of difference: \( |J - K| = | - 5 - 7| = | - 12| = 12
eq 2 \). So C is incorrect.

Step5: Analyze Option D

Difference (J - K): \( - 5 - 7 = - 12
eq 2 \); (K - J): \( 7 - (-5)=12
eq 2 \). So D is incorrect.

Answer:

B. The sum of John's score and Kamira's score