Final answer:
John was six days late with his assignment. By setting up an equation and solving for the variable d, which represents the number of days late, we find that d equals 6.
Step-by-step explanation:
To calculate how many days late John's assignment was, we can set up an equation where d represents the number of days the assignment was late. We know that 85 percent is the original grade for accuracy and that 1/4 point is deducted for each day the assignment is late. John's adjusted grade is 83.5 percent after the late penalty has been applied.
The equation would look like this:
85 - (1/4)d = 83.5
Now, to find the value of d, we rearrange the equation to isolate d:
(1/4)d = 85 - 83.5
Then we simplify:
(1/4)d = 1.5
Multiplying both sides by 4 to solve for d:
d = 1.5 × 4
This gives us:
d = 6
So, John's assignment was 6 days late.