Step-by-step explanation:
h = -490t² + 1470t
When h = 980:
980 = -490t² + 1470t
Simplifying:
0 = -490t² + 1470t - 980
0 = t² - 3t + 2
Factoring:
0 = (t - 1) (t - 2)
t = 1, 2
There are two solutions because the rocket first reaches the height of 980 cm as it's going up at 1 second, then it reaches that height again as it's coming down at 2 seconds.
think of it as one group of adult tickets and 3 groups of student tickets which is 4 groups, so divide 536 by 4. the answer is 134 which is the amount of adult tickets sold (if you wanted the amount of student tickets then you can just subtract 134 from 536).
16.5
Hope i was able to give the right answer
