On March 31th, the number of people testing positive for Covid-19 in the state of Colorado was 2966. On July 28th, the state of Colorado had 45,314 people who tested positive. Write an exponential model of the form ? = ??!" to represent the number of positive cases of Covid-19 since March 31st. Then predict how many cases we can expect on September 1st.

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter2: Working With Real Numbers
Section2.3: Rules For Addition
Problem 8P
icon
Related questions
Topic Video
Question

On March 31th, the number of people testing positive for Covid-19 in the state of Colorado was 2966. On July 28th, the state of Colorado had 45,314 people who tested positive. Write an exponential model of the form ? = ??!" to represent the number of positive cases of Covid-19 since March 31st. Then predict how many cases we can expect on September 1st.

Expert Solution
Step 1

The number of cases on March 31th = 2966.

The number of cases on July 28th = 45,314.

The number of days from March 31th to July 28th = 120 days (3 months 29 days).

Calculate the growth rate.

r=PresentPast1/n-1=4531429661/120-1=0.023

 

 

Step 2

Exponential model form:

xt=x01+rt=29661+0.023t=2966(1.023)t

So, the exponential form is:

xt=2966(1.023)t

 

steps

Step by step

Solved in 3 steps

Blurred answer
Knowledge Booster
Discrete Probability Distributions
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781305652224
Author:
Charles P. McKeague, Mark D. Turner
Publisher:
Cengage Learning
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Elementary Algebra
Elementary Algebra
Algebra
ISBN:
9780998625713
Author:
Lynn Marecek, MaryAnne Anthony-Smith
Publisher:
OpenStax - Rice University
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning