MAC 1105-3.3 Comparing Linear and Exponential Growth - Fernandez - Spring 25, section 003, Spring 2025 | Actual Q&A | 99% Correct | A Grade

24/2/25, 9:21 p.m. 3.3 Comparing Linear and Exponential Growth - MAC 1105 - Fernandez - Spring 25, section 003, Spring 2025 | WebAssign




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MAC 1105 - Fernandez - Spring 25, section 003, Spring 2025
INSTRUCTOR
3.3 Comparing Linear and Exponential Growth (Homework) Chessy Fernandez
Santa Fe College


Current Score


QUESTION 1 2 3 4 5 6 7 8 9

POINTS 6.25/6.25 6.25/6.25 6.25/6.25 6.25/6.25 6.25/6.25 6.25/6.25 6.25/6.25 6.25/6.25 6.25/6.25 6.2



TOTAL SCORE


98.08/100 98.1%



Due Date


MON, FEB 24, 2025
11:59 PM EST

REQUEST EXTENSION



Assignment Submission & Scoring
Assignment Submission
For this assignment, you submit answers by question parts. The number of submissions remaining for each question part only changes if you submit or
change the answer.
Assignment Scoring
Your best submission for each question part is used for your score.




https://www.webassign.net/web/Student/Assignment-Responses/submit?dep=36205229&tags=autosave#question4912134_15 1/23

,24/2/25, 9:21 p.m. 3.3 Comparing Linear and Exponential Growth - MAC 1105 - Fernandez - Spring 25, section 003, Spring 2025 | WebAssign


1. [6.25/6.25 Points] DETAILS MY NOTES SCOLALGCC1 3.3.001.

PREVIOUS ANSWERS ASK YOUR TEACHER PRACTICE ANOTHER

A population is modeled by f(x) = 4 · 9 x.

(a) The average rate of change of f varies on different intervals.


(b) The percentage rate of change of f is constant on all intervals of length 1.


(c) The percentage rate of change of f between x = 3 and x = 4 is 800 %.




2. [6.25/6.25 Points] DETAILS MY NOTES SCOLALGCC1 3.3.002.

PREVIOUS ANSWERS ASK YOUR TEACHER PRACTICE ANOTHER

A set of data with equally spaced inputs is given in the table below. Complete the table for the percentage rate of change of the outputs y.

Percentage rate
x y of change

0 8 —

1 32 300%

2 128 300 %

3 512 300 %

4 2048 300 %

(a) Since the percentage rate of change is constant , there is an exponential model f(x) = C · a x that fits the data.


(b) The percentage rate of change is the constant 300 %, so the growth rate r is 3 , and the growth factor a is 4 .


x
(c) An exponential model that fits the data is f(x) = 8 ·4 .




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, 24/2/25, 9:21 p.m. 3.3 Comparing Linear and Exponential Growth - MAC 1105 - Fernandez - Spring 25, section 003, Spring 2025 | WebAssign


3. [6.25/6.25 Points] DETAILS MY NOTES SCOLALGCC1 3.3.005.

PREVIOUS ANSWERS ASK YOUR TEACHER PRACTICE ANOTHER

True or false?

(a) The function f(x) = 7x + 6 has constant average rate of change on all intervals.

True

False




(b) The function f(x) = 3 x has constant percentage rate of change on all intervals of length one.

True

False




4. [6.25/6.25 Points] DETAILS MY NOTES SCOLALGCC1 3.3.007.

PREVIOUS ANSWERS ASK YOUR TEACHER PRACTICE ANOTHER

Identify each type of growth as linear or exponential.

(a) Doubling every 3 years

linear

exponential




(b) Adding 3,000 units each year

linear

exponential




(c) Increasing by 5% each year

linear

exponential




(d) Multiplying by 3 each year

linear

exponential




https://www.webassign.net/web/Student/Assignment-Responses/submit?dep=36205229&tags=autosave#question4912134_15 3/23