Answer:D: All real numbers,where X doesn't belong to 0.
Option C is the correct option..
Please see the attached picture for full solution..
Hope it helps...
Good luck on your assignment...
the wording leaves a little to be desired. what does that 32 actually mean?
i don't think it is asking us to add on the distance it has to travel to get a bounce of 32. we are starting with a bounce that is 32 high.
the second bounce is 9/10 of that height which turns out to be 28.8.
the third bounce is 9/10 of 28.8 which is 25.92, i think, and then it continues on.
so here are the givens
a = 32
r = 9/10
n = 25
sum = a(1 - r^n) / (1 - r)
sum = 32*(1 - (9/10)^25) / (1 - 9/10)
sum = 32*(1 - 0.07179) / ( 1 - 9/10)
sum = 32*(0.9282) / 0.1
sum = 29.7 / 0.1
sum = 297
but that number represents only the distance going up. you must also take the distance going down. you have to double this answer.
2*sum = 2 * 297
sum' = 594
the wording is a real snake. we don't really know if we need to include some height that was a start. if we do, the answer is 594 + k where k is a constant yet to be determined. usually k is part of the problem.
or do we take a = 32 as the first drop? we can't tell from the wording.
okay, so you can scan it into the computer, than you can print it out larger. or just do it by hand. lol..