Question

1. the enrollment of a school in 2000 was 1200. since then, it has increased at a rate of 35 students per year.

a. what is the rate of change?

b. what is the initial value?

c. what is the independent variable?

d. what is the dependent variable?

e. write an equation to represent the enrollment of the school each year after 2000.

1. the registration at a preschool is $125. then, parents must also pay $475 per month for tuition.

a. what is the rate of change?

b. what is the initial value?

c what is the independent variable?

d what is the dependent variable?

e write an equation to represent the total cost after each month.

Explanation:

Problem 1

A. Rate of Change

Step1: Identify rate of change

The rate of change is the constant increase per year, given as 35 students per year.

Step1: Identify initial value

The initial enrollment in 2000 is the initial value, which is 1200.

Step1: Determine independent variable

The independent variable is the one that changes freely, here it's the number of years after 2000 (let's say \( t \) years).

Answer:

35 students per year

B. Initial Value