High School

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------------------------------------------------ What score does the equation \( e = 1.04t + 38.4 \) predict for a student who studies for 33 minutes?

Answer :

Final answer:

To find the predicted score with 33 minutes of study, we substitute 33 for 't' in the given equation. The calculation then predicts that the student score would be around 72.12.

Explanation:

The equation e = 1.04t + 38.4 predicts a score for a student who studies for 33 minutes. To find the predicted score, substitute t = 33 into the equation and solve for e. Plug in 33 minutes for t: e = 1.04(33) + 38.4. Calculate the expression to find the predicted score.

To solve for the score a student gets when studying for 33 minutes, we can substitute the number of study minutes, which is 33, into the equation e = 1.04t + 38.4. The variable 't' in this equation corresponds to the number of minutes spent studying. Here 'e' is the expected score. Therefore:

e = 1.04 * 33 + 38.4

Solving this, the equation gives:

e = 72.12

Hence, according to the given equation, if a student studies for 33 minutes, it is predicted that they would score approximately 72.12.

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