Question

1. in sams school, science scores for a year are calculated from the scores of a project, quizzes, and a final exam. the table shows the weight of each criterion. the number line shows the scores of sam in each criterion.

criterion weight
project (p) 20%
quizzes (q) 25%
final exam (r) 55%
what is sams science score for the year?

Explanation:

Step1: Identify scores from number line

From the number line, \( P = 8 \), \( Q = 9 \), \( R = 7 \).

Step2: Calculate weighted sum

Weighted score formula: \( \text{Total Score} = (P \times \text{Weight of } P) + (Q \times \text{Weight of } Q) + (R \times \text{Weight of } R) \)
Convert percentages to decimals: \( 20\% = 0.2 \), \( 25\% = 0.25 \), \( 55\% = 0.55 \)
Substitute values: \( (8 \times 0.2) + (9 \times 0.25) + (7 \times 0.55) \)

Step3: Compute each term

\( 8 \times 0.2 = 1.6 \), \( 9 \times 0.25 = 2.25 \), \( 7 \times 0.55 = 3.85 \)

Step4: Sum the terms

\( 1.6 + 2.25 + 3.85 = 7.7 \)

Answer:

\( 7.7 \)