During a certain flu epidemic, the total number T of patients diagnosed with the flu after d days is given in the table below.d05101520T3541475359(a) Check differences to show that these are linear data.T is a not linear function or T is a linear function?   (b) What is the practical meaning of the slope?The slope represents the total number of cases each day orThe slope represents the number of new cases per day  ?

Question
Asked Nov 8, 2019

During a certain flu epidemic, the total number T of patients diagnosed with the flu after d days is given in the table below.

d 0 5 10 15 20
T 35 41 47 53 59
(a) Check differences to show that these are linear data.
T is a not linear function or T is a linear function?   

(b) What is the practical meaning of the slope?
The slope represents the total number of cases each day or
The slope represents the number of new cases per day  ? 
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Expert Answer

Step 1

(a)

It is known that, any set of data is linear then the slope is constant.

Let d 0,d, 5,d, 10,d
= 15,d, = 20 and
T 35,7 417= 47,T, = 53,7T, = 59.
Find the slope for di 0,d, 5 and T, 35,T 41
Т, — Т,
т 3
p-p
41 35
5 0
6
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Let d 0,d, 5,d, 10,d = 15,d, = 20 and T 35,7 417= 47,T, = 53,7T, = 59. Find the slope for di 0,d, 5 and T, 35,T 41 Т, — Т, т 3 p-p 41 35 5 0 6

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Step 2
Find the slope for d, 5,d 10, and T, 41, 47
Т -Т,
Т,
т 3
2
р- р
47-41
1
15 10
5
6
Similarly, the slopes for all given values are m
5
Thus, the all slopes are same; the given date is perfectly fits for linear model.
help_outline

Image Transcriptionclose

Find the slope for d, 5,d 10, and T, 41, 47 Т -Т, Т, т 3 2 р- р 47-41 1 15 10 5 6 Similarly, the slopes for all given values are m 5 Thus, the all slopes are same; the given date is perfectly fits for linear model.

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