Length=3w
width=w
perimeter of a rectangle=2( length) +2(width)
perimeter of this rectangle=2(3w)+2(w)=6w+2w=8w
answer: the perimeter would be:
perimeter=8w.
y = mx +c
Substitute the values,
-4 = -1(2) + c
c = -2
Thus, the equation is y= -x -2
Answer: A.) It is a linear function because there is a constant rate of change in both the input and output values.
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Explanation:
Note how x is decreasing by 3 each time
- -2-3 = -5
- -5-3 = -8
- -8-3 = -11
At the same time, y is also decreasing by 3 each time
This means we have a linear function. We have,
slope = (change in y)/(change in x)
slope = (-3)/(-3)
slope = 1
Recall that slope is another term for rate of change, so a constant slope means we have a constant rate of change.
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Another way to find the slope is to pick any two points from the table and use the slope formula
m = (y2 - y1)/(x2 - x1)
You should find that any two points you pick will lead to a slope of 1. I recommend you try out all possible pairs to help convince yourself the slope is 1.