Question

Is each situation a linear or a nonlinear model?
1.
The stopping distance for a car is given by the equation D=v2/15.7 where D is the distance a car travels once the brakes are applied and v is the car’s velocity.

A.


linear model


B.


nonlinear model

Answer 1

Let x stand for time, y stand for velocity.
We are given the points (2,50), (6, 54). We can make a line using the slope intercept form
y = mx + b.
slope is (54 - 50)/(6-2) = 4/4 = 1
y = 1x + b
plug in point (2,50) to find b
50 = 1(2) + b
50-2 = b
48 = b
the equation is y = 1x + 48
Make standard form.
x - y = -48

Answer 2

Hi

Answer 3

@superdavesuper Could you help me

Answer 4

Sorry, I thought the v term was squared.

Answer 5

If this is D=v^2/15.7, then it is not a linear model because linear models do not have a power of x greater than one.

Answer 6

Thanks :)

Answer 7

You are welcome.