The function shown in the graph is a linear function, for a given linear function, the initial value is obtained at y-intercept. The y-intercept is the point where the graph cuts the y-axis. At this point the value of x is zero. Thus from the graph given, the point x=0 at y=2, hence the initial value is y=2.
Answer: y=2

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2 years ago

Jami is trying to model the movement of a tire. In order to properly model the movement, she is going to focus on the movement o

USPshnik [31]

From the given data it is clear that the amplitude of the wave will be 9 inches.

It is also clear that the speed of rotation, ω, will be: $\omega=\frac{2\pi}{T}=\frac{2\pi}{8}=\frac{\pi}{4}$

Now, it is given that the nozzle is on the right side of the tire and that position is going to be treated as the equilibrium position, the tire is then rotated such that the nozzle goes up at the beginning of the rotation. This condition is possible only when we have a Sine (Sin) function.

Thus, our final answer can be arrived as:

$Amplitude\times Sin(\omega t)$