Answer: 67
Step-by-step explanation:
Here is the complete question:
A professor 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?
Let's rewrite the formula to determine Ann's performance.
P = 70.443 + 4.885t
where t is in hours.
This is equation with P(t) means that P depends on variable t. We can then express t=2.6 in the formula to get her expected performance.
P = 70.443 + 4.885t
P = 70.443 + 4.885(2.6)
P = 70.443 + 12.701
P = 83.144
Now, since the question says that she scored 16 points less than the expected, we then need to find value of P-16
= P - 16
= 83.144 - 16
= 67.144
We can then round it to the nearest integer, this will be 67.
