Respuesta :
Answer: t represents the the number of seconds after rocket is released.
Step-by-step explanation:
Given: The height of a rocket a given number of seconds after it is released is modeled by [tex]h (t) = 6t^2 + 32t + 10[/tex].
Here h (height) is the dependent variable , which depends on the number of seconds after rocket is released (independent variable).
Since the independent variable in the function is t, then t must represents the the number of seconds after rocket is released.
The variable t represents the number of seconds that have passed since the rocket was released.
How to identify what a variable represents?
Here we know that the height of a rocket a given number of seconds after it is released is modeled by:
h(t) = 6*t^2 + 32*t + 10
So this is a function that relates height with time in seconds, we know that the function models the height, so we must have that:
[h(t)] is equivalent to height.
This means that the other variable, t, must be related to time in seconds.
Then we can conclude that the variable t represents the number of seconds after the rocket has been released.
If you want to learn more about motion equations, you can read:
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