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.

Intermediate Algebra
19th Edition
ISBN:9780998625720
Author:Lynn Marecek
Publisher:Lynn Marecek
Chapter10: Exponential And Logarithmic Functions
Section10.5: Solve Exponential And Logarithmic Equations
Problem 10.88TI: Researchers recorded that a certain bacteria population declined from 700,000 to 400,000 in 5 hours...
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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

 

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