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AIhunter2884
15.07.2019 •
Mathematics
Acompany pays its employees a fixed base salary and a commission based on sales. the scatter plot shows the total earning of an employee of the company (y) based on sales (x): plot the ordered pairs 0, 10 and 100, 20 and 200, 30 and 300, 40 and 400, 50 and 500, 60 which function best represents the data in the scatter plot?
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Ответ:
The given data in ordered pairs which are in blue color :
(0,10) , (100,20) , (200,30) , (300,40) , (400,50) and (500,60)
So, the data can be represented by a line as shown in the graph which is in red color
The general equation of the line ⇒ y = mx + c
where : m is the slope and c is constant and represents the y-intercept
Using any two different points to find the m as following
i chose (100,20) and (400,50)
∴
And as shown in the figure the y-intercept is equal to 10
∴ c = 10
( note: c also, can be calculated by substitute with x = 0 at the equation of y)
∴ y = mx + c
∴ y = 0.1 x + 10
So, the function which best represents the data in the scatter plot is
y = 0.1 x + 10
Ответ:
ty <3
Step-by-step explanation: