**3.08 Exploring Linear Models.**

Part Two

Question

Using the average rate of change, create equations to represent each table using function notation.

Part Three ~ Gore College

Question

Using a different color for each line, sketch a graph that represents the job placement based upon the domain and range listed in Part A, and interpret key features.

Part Three ~ Douglas University

Question

Using a different color for each line, sketch a graph that represents the job placement based upon the domain and range listed in Part A, and interpret key features.

Part Three ~ Hughes University

Question

Using a different color for each line, sketch a graph that represents the job placement based upon the domain and range listed in Part A, and interpret key features.

**Presented By: Hailey Maugans**

Part One

Question

Using the Number of Graduates as the domain and the Number Placed in Jobs as the range, determine average rate of change between the lowest number of graduates and the highest number of graduates.

3.08 Exploring Linear Models

Algebra One - Mrs. Bridges

Choice One - Criterion Two

Presented By

Hailey Maugans

Average Rate Of Change

f(b) - f(a)

--------

b - a

f(b) is for the end amount of graduates

f(a) is for the starting amount of graduates

b is for the end amount of graduates placed in jobs

a is for the starting amount of graduates placed in jobs

Answer

420 - 375

-------

273 - 244

(420 - 375) ÷ (273 - 244)

45 ÷ 29 = 1.551724137931034

Part Four

Question

Calculate the output for each school for an input of 450. Interpret its meaning.

Part Five

Question

Interpret the meaning of the y-intercept, and evaluate its reasonableness in this context.

Part Six

Question

Using the information you calculated about average rate of change in Part A, and based upon job placement data alone, explain which school you believe each student should attend. You will need to include the average rate of change information in your “Making the Right Decision” paragraph.

Answer

Gore: y = 1.16x + 450

Douglas: y = 7.5x + 450

Hughes: y = 1.62x + 450

*I got my answer because the question gives you the y-intercept (an output of 450) and then all you have to do is find the slope. To do this, I just took two points from the years in the tables, subtracted them, divided them, and then ended up with slope. This is what made my equation possible.*

Answer

The y-intercept was given in the question. Saying that there was an input and an output, and the output is y and y is equal to the y-intercept.

Part Six - Answer

I think that Reya, my client, should still choose Gore College as her next step. This college doesn't worry much about immediately getting their students started on a job. However, Ian would work great at Hughes University, because they are a large school, with lots of students, and seem to be on top of getting students ready for what the real world has in store for them, including working out there.

Basically, Reya should attend Gore College; and Ian should attend Hughes University.