Question

Algebra 2 8.04 FLVS
I need help with this assignment!

Answer 1

looks like a bit of work.
I would start by finding the common ratio between bounces

Answer 2

the common ratio is the term divided by the previous term
for example, the first ratio (for ball 1)
is height2/ height1 = 2.4/3
you do that for each "pair" to get a list of ratios (4 numbers in the list)
then find the average of those 4 ratios to get the "average ratio"

Answer 3

I added the values, divided them by for and got r= .4 r=.6 and r=.7

Answer 4

four*

Answer 5

you found some numbers, but not the numbers you need.

The first step is find the *ratio* of heights
For example, the first ratio is the height at step 2 divided by the height at step 1
can you do that ?

Answer 6

Oh okay, and I would that for the remaining? so 1.9/3 1.5/3 etc? the average them?

Answer 7

almost. it would be height3/height2 so 1.9/2.4
the idea is each ratio should be close to the same number

Answer 8

For ball 1 r= 0.8 or 0.7925

Answer 9

I don't know how accurate they want to be, but I got 0.795...
what did you get for the 4 numbers?

Answer 10

0.8
0.79
0.78
0.8

Answer 11

I would keep 4 digits
the first and last are exactly 0.8, so those are ok
redo the 2 middle numbers

Answer 12

If I round they all come to 0.8

Answer 13

when we do this, we should keep more digits than we need,
then round after we find the average

Answer 14

btw, for the 3rd number I got 0.78947...
if you round to the nearest 100th you get 0.79 (not 0.78)
because they want to see your work, they might complain

Answer 15

once you get the average r (0.8 is probably good enough)
you can find the height at step 6= 0.8 * height at step 5

Answer 16

Ok, I redid it an got 0.79525

Answer 17

yes, and now if you round to the nearest 100th you get 0.80
which is pretty accurate

Answer 18

notice that at each step, if you multiply by 0.8, you get the next height (always a little smaller)
you use that idea to figure out the height at step 6

Answer 19

For height 6 I got 0.98304

Answer 20

Which is 0.98 rounded right?

Answer 21

Thank you so much @Phi !