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the distance, d, in meters from the shore, of a surfer riding a wave is given by d = 130 - 6t, where t is the number of seconds since she caught the wave.
identify the initial value and the rate of change, and explain their meanings in practical terms using units.
the initial value is
it represents
the rate of change is
it represents
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Explanation:

Step1: Identify the initial - value

The equation is $d = 130-6t$. When $t = 0$, $d=130$. This is the starting distance.

Step2: Identify the rate of change

The equation is in the form $d=mt + b$ where $m$ is the rate of change. Here $m=-6$, meaning the distance changes by -6 meters per second.

Answer:

The initial value is 130. It represents the distance in meters of the surfer from the shore when she caught the wave (at $t = 0$ seconds).
The rate of change is -6. It represents the change in the distance of the surfer from the shore in meters per second. The negative sign indicates that the distance from the shore is decreasing as time passes.