Question

9. 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.

Answer 1

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

Step-by-step 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