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Kingoftycoons3271
04.01.2021 •
Mathematics
How do you interpret algebraic expressions and their parts in terms of the context of the situation they are representing
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Ответ:
we will first plot all x,y points on graph as shown in attachment.
(a) as you can see in attachment we get straight line so we can say yes number of employess are correlated to number of products produced monthly. they are linearly correlated by linear function
(b) as its straight line so it has to be linear function
to write linear function equation we will select any two random points on graph here. lets say (0,120) and (10,200)
so first find slope using slope formula
so for point (0,120) and (10,200) we will have slope as
equation of line is given by
so lets plug 8 in m place , 0 in
place and 120 in
place in formula
y - 120 = 8(x - 0)
y - 120 = 8 (x)
now solve for y and get y by itself
y - 120 = 8x
y - 120 + 120 = 8x + 120
y = 8x +120
so thats the equation of function that best fits the data
(c) slope = 8 indicates rate of increase or how fast is the number of products produced monthly is changing with number of employees.
y intercept is point where line cuts y axis which is at (0,120). so that means for 0 number of employees (x) we have number of products produced monthly(y) as 120. so intially there were 120 products