Question

mr. johnson predicted the average score on the vocabulary test he gave would be 85 points. his prediction was 8% lower than the actual average score. what was the actual average score on the vocabulary test? round your answer to the nearest tenth.
□ points

Explanation:

Step1: Define the relationship

Let the actual average score be \( x \). The predicted score (85) is 8% lower than the actual score, which means the predicted score is \( (1 - 0.08)x = 0.92x \).

Step2: Solve for \( x \)

We have the equation \( 0.92x = 85 \). To find \( x \), we divide both sides by 0.92: \( x=\frac{85}{0.92} \).

Step3: Calculate the value

\( \frac{85}{0.92}\approx92.4 \) (rounded to the nearest tenth).

Answer:

92.4