A factory worker conducted test on a random sample of 150 products. Of the products tested, 2 were found to have defects.Based o
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The piece-wise linear functions can be written as follows:
.
.
.
A linear function is modeled by:
y = mx + b
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.
For x equal or less than -2, the line passes through (-3,-3) and (-2,-2), hence the rule is:
.
For x greater than -2 up to 1, the y-intercept is of -7, and the line also passes through (1,-8), hence the rule is:
.
For x greater than 1, the function goes through (2,-5) and (3,-3), hence the slope is:
m = (-3 - (-5))(3 - 2) = 2.
The rule is:
y = 2x + b.
When x = 2, y = -5, hence:
-5 = 2(2) + b
b = -9.
Hence:
.
More can be learned about linear functions at brainly.com/question/24808124
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Answer:
Boxes sold first week = 104
Boxes sold second week =x+5= 104+5=109
Boxes sold third week = 109 times 2= 218
Step-by-step explanation:
Let x be the number of boxes sold in first week
the girls sold 5 more boxes the second week
So number of boxes sold in second week is x+5
they double the sales of the second week for the third week
So number of boxes sold in third week is 2 (x+5)
Total boxes sold is 431
subtract 15 from both sides
divide by 4 on both sides
Boxes sold first week = 104
Boxes sold second week =x+5= 104+5=109
Boxes sold third week = 104 times 2= 218