High School

What score does the equation [tex]e = 1.04t + 38.4[/tex] predict for a student who studies for 33 minutes?

Answer :

The predicted score for a student who studies for 33 minutes using the equation e=1.04t+38.4 is 72.72.

To predict the score for a student who studies for 33 minutes using the equation e=1.04t+38.4, we need to substitute the time t with 33 minutes in the equation.

  • First, replace t with 33: e = 1.04(33) + 38.4.
  • Then, multiply 1.04 by 33 to find the contribution of study time to the score.
  • Finally, add 38.4 to the product of 1.04 and 33 to get the predicted score, e.

So, the calculation would be:

e = 1.04(33) + 38.4

e = 34.32 + 38.4

e = 72.72

The equation predicts that a student who studies for 33 minutes will score 72.72.