Answer:
The total expense to educate the students at Webster Elementary School is currently changing per year = $2564
Explanation:
Given - There are currently 487 students enrolled in Webster Elementary School, and the number of students is decreasing at the rate of 16 students per year. Currently the annual expense to educate one student is $1,256, and the expense to educate one student is increasing at the rate of $36 per year.
To find - Use the product rule to determine the rate at which the total expense to educate the students at Webster Elementary School is currently changing per year.
Proof -
Total number of students = 487
Students decreasing rate per year = 16 students
Annual expense to educate 1 student = $ 1256
The increasing rate for 1 student per year = $ 36
Now,
Total increasing cost = 487 × 36 = $ 17532
Now,
Total cost of decreasing students per year = $ 1256 ×16 = $ 20096
Now,
Rate of change = $ 20096 - $ 17532 = $2564
∴ we get
The total expense to educate the students at Webster Elementary School is currently changing per year = $2564
