Identify the constant of proportionality (k) between dollars earned by the You-Tube Star and dollars brought in by the company. 25 A. = 2.5, k = 2.5 10 B. 25 10 = 250, k 250 C. 25-10= 35, k 35 D. 10 25 = 0.4, k 0.4
Identify the constant of proportionality (k) between dollars earned by the You-Tube Star and dollars brought in by the company. 25 A. = 2.5, k = 2.5 10 B. 25 10 = 250, k 250 C. 25-10= 35, k 35 D. 10 25 = 0.4, k 0.4
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter2: Functions And Graphs
Section2.6: Proportion And Variation
Problem 22E: Find the constant of proportionality. z is directly proportional to the sum of x and y. If x=2 and...
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Transcribed Image Text:Identify the constant of proportionality (k) between dollars earned by the You-Tube Star and dollars brought
in by the company.
10
25
= 2.5 , k = 2.5
B. 25 10 = 250, k = 250
C. 25 10 = 35, k = 35
D. 10 25 = 0.4, k = 0.4
Transcribed Image Text:Money Paid to You-Tube by Week
When a You-Tube video is viewed on the internet, the You-Tube Star and the You-Tube company makes some money.
The graph shows how much money a You-Tube Star is paid given the amount of money the company earns.
Money Paid to You-Tube by Week
100.00
535, 587.50
90.00
80.00
$30, 575.00
70.00
60 00
520,550.00
50.00
20.00
$10, 525 00
30 00
20.00
30.00
0.00
10.
20
35
Earned by Company
Paidto You Tube Stars
Expert Solution
Step 1
Ans . Here we can see from the graph that the relationship between money earned by company and money paid to youtubers is Linear.
The Most important property of the graph showing the relationship , which is linear is that the slope of the graph must be same
Here the given Points are : A ( 10,25) , B ( 20,50 ) , C ( 30 , 75 ) and D (35, 87.50 )
and slope of line passing through points ; ( x1,y1 ) and ( x2,y2)
is Slope = M = (y2-y1)/(x2-x1)
So Here slope may be calculated using points A,B,C and D
Using A and B : M = (50-25) /(20-10) = 2.5
Using B and C : M = (75-50) /(30-20) = 2.5
Using C and D : M = (87.50-75) /(35-30) = 2.5
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