Complete question :
Two neighboring schools use different models for anticipated growth in enrollment: School A has 850 students and predicts an increase of 100 students per year. School B also has 850 students, but predicts an increase of 8% per year. Compare the models.
Answer:
y = 850 + 100x
y = 850 + 1.08^x
Explanation:
SCHOOL A:
Initial Number of students = 850
Increase per year = 100
SCHOOL B:
Initial Number of students = 850
Increase per year = 8%
Let the total number of students after x years = y
Hence,
SCHOOL A:
y = initial population + 100 * Number of years
y = 850 + 100x
SCHOOL B:
Using the growth rate relation
y = initial population + (1 + rate per year)^number of years
y = 850 + (1 + 0.08)^x
y = 850 + 1.08^x