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 actual score variable

Let $x$ = actual average score.

Step2: Set up percentage equation

The predicted score is 92% of actual score:
$0.92x = 85$

Step3: Solve for actual score

$x = \frac{85}{0.92}$

Step4: Calculate and round

$x \approx 92.3913$, rounded to nearest tenth is 92.4

Answer:

92.4 points