Answer:
D. [tex]-16t^2+1000>300[/tex] is the correct answer.
Step-by-step explanation:
It is given that Distance, d above ground with time 't' is given by the formula:
[tex]d = -16t^2+1000[/tex]
The negative sign with [tex]16t^2[/tex] indicates that the distance is decreasing with square of time. i.e. value is getting subtracted from a value 1000.
For example, if t = 0, d = 1000 feet
If t = 2, d = -16[tex]\times[/tex] 4 + 1000 = 936 feet
We can clearly see that when 't' is increasing, the distance 'd' is decreasing.
And at a certain time, the object will be on ground when d = 0 feet.
Inequality for the distance greater than 300 feet i.e.
d > 300 feet
Hence, the inequality will be:
[tex]-16t^2+1000 >300[/tex] is the correct answer.
