Answer:55.227
Step-by-step explanation:
Given data
mass =13lb
spring stretches by =4.5in=0.375 ft
g=
Now Spring constant K
mg=kx
k=
For critical damping
and
substituting values
c=55.227 lb.sec/ft
On a full flight they’ll make $52,056 in ticket sales
The slope would always be the coefficient of x, so in this case, we can already rule out A and B. C and D are left now.
Since the line passes through the point (4,-1), let's sub in x = 4 (since the x value is 4), and if we get y = -1, the answer can be determined.
Option C:
y =
x -
Sub x = 4,
y =
(4) -
= 1
The answer was NOT y = -1, so we can rule out C.
That leaves us with the only option D, and just to check in case:
y =
=
= -1
D is definitely the answer! Hope this helped!
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.