Question

max rides his scooter toward kim and then passes her at a constant speed. his distance in feet, d, from kim t seconds after he started riding his scooter is given by d = |150 - 9t|. what does the 150 in the equation represent? what does the 9 in the equation represent?

Explanation:

Step1: Analyze the distance - time formula

The general formula for distance in a linear - motion context is $d = d_0+vt$, where $d$ is the distance at time $t$, $d_0$ is the initial distance, and $v$ is the velocity. The given equation is $d = |150 - 9t|$.

Step2: Determine the meaning of 150

In the context of the problem, when $t = 0$ (the moment Max starts riding), $d=|150-9\times0| = 150$. So, 150 represents the initial distance in feet between Max and Kim when Max starts riding his scooter.

Step3: Determine the meaning of 9

The coefficient of $t$ in the linear - part of the equation represents the rate of change of distance with respect to time. Since the formula is related to motion, 9 represents Max's speed in feet per second.

Answer:

The 150 represents the initial distance in feet between Max and Kim when Max starts riding his scooter.
The 9 represents Max's speed in feet per second.