The linear function that represents the maximum number of points the assignment may receive is, f(x) = 200 - 10x for 1 ≤ x ≤20.
What are linear functions?
Linear functions are the functions over a variable (say x), where the highest power for the variable is 1.
How do we solve the given question?
In the question, we are informed that an assignment is worth 200 points. We are also said that the professor deducts 10 points per day, for each day the assignment is submitted late.
We are asked to write a linear function that represents the maximum number of points the assignment may receive at a given time, assuming it was turned in after it was due.
Since it is given that the assignment is submitted late, we assume the days of delay to be x.
For each day delayed, 10 points are deducted.
∴ For a delay of x days, points deducted = 10x
We know, the total worth of the assignment = 200.
Hence the points can be calculated as a linear function, f(x) = 200 - 10x.
Now, since we are asked to assume that the assignment was turned in after it was due, we can say that x ≥ 1.
Also, the maximum delay can be of days as the points of the assignment can not be negative, that is, x ≤ 20.
∴ The linear function that represents the maximum number of points the assignment may receive is, f(x) = 200 - 10x for 1 ≤ x ≤20.
Learn more about Linear functions at
https://brainly.com/question/4025726
#SPJ2
