Answer:
606 feet
Step-by-step explanation:
The fireword has a 5-second fuse, meaning that's how long it will take to explode.
Given the polynomial -16t² + 200t + 6, where t is the time in seconds
We need to subsitute 5 sec. (as stated in the question) for t in the polynomial, to find how high the fireworks will be when it explodes :
-16t² + 200t + 6 <== substitute 5 for t
-16(5)² + 200(5) + 6 <== square the exponent first
-16(25) + 1000 + 6 <== multiply
-400 + 1000 + 6 <== add
-400 + 1006 <== add
606 feet <== final answer
This means that it will be 606 feet high before it explodes.
Hope this helps!
