State whether each situation is best represented by an exponential or linear function. Then write an exponential or linear function for the model and state whether the model is increasing or decreasing. 1. Enrollment at a school is initially 454 students and grows by 3% per year. A salesperson initially earns $50,434 dollars per year and receives a yearly raise of $675. 2. 3. A customer borrows $450 at 5% interest compounded annually. 4. A wildlife park has 35 zebras and sends 1 zebra to another wildlife park each year.
State whether each situation is best represented by an exponential or linear function. Then write an exponential or linear function for the model and state whether the model is increasing or decreasing. 1. Enrollment at a school is initially 454 students and grows by 3% per year. A salesperson initially earns $50,434 dollars per year and receives a yearly raise of $675. 2. 3. A customer borrows $450 at 5% interest compounded annually. 4. A wildlife park has 35 zebras and sends 1 zebra to another wildlife park each year.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter9: Quadratic Functions And Equations
Section9.1: Graphing Quadratic Functions
Problem 74HP
Related questions
Question
Expert Solution
Step 1
(1) Enrollment at school is initially 454 students and grows by per year.
Formula:
Next value
The data table is:
(year) | (students) |
0 | 454 |
1 | 467.62 |
2 | 481.6486 |
3 | 496.098058 |
4 | 510.98099974 |
5 | 526.310429732 |
Since, ,
(a) It is clear that the change is not linear. Therefore, this situation represents an exponential function.
(b) We know that an exponential function is given by , where
Here, and
Therefore,
The equation for the model is
(c) The model is increasing.
Trending now
This is a popular solution!
Step by step
Solved in 4 steps
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Functions and Change: A Modeling Approach to Coll…
Algebra
ISBN:
9781337111348
Author:
Bruce Crauder, Benny Evans, Alan Noell
Publisher:
Cengage Learning
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Functions and Change: A Modeling Approach to Coll…
Algebra
ISBN:
9781337111348
Author:
Bruce Crauder, Benny Evans, Alan Noell
Publisher:
Cengage Learning
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning