Aprofessor determined the relationship between the time spent studying (in hours) and performance on an exam.

performance = 70.443 + 4.885 * (time)

ann studied 2.6 hours for the last exam. however there was a concert in town the night before and her score was 16 points lower than expected. what was her score on this exam, rounded to the nearest integer?

Lets write again formula for determening Ann's performance.

P = 70.443 + 4,885*t

where t is in hours. This is equation with P(t) which means that P only depends on variable t. If we express t=2.6 in formula we will find her expected performance.

P = 83.144

Now, since it says that she scored 16 points less than expected we need to find value of P-16

P - 16 = 67.144

After round we get that the answer is 67

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Independent variable is something that is changed in a experiment.