Question

Medal and fan for anyone who helps me check my algebra work!

Answer 1

I've written this so far, I'm just having trouble with Part 2 and Part 3, the whole formula part is confusing me.

Answer 2

why are you having trouble with part 2?
you know the initial is a=60 and the common ratio is r=1.15
I don't understand your formula geometric sequence
it should be
\[S_n=a_1 \cdot r^{n-1}\]
I will use S since you are using S for the amount of minutes

Answer 3

I was mostly having trouble with Part 3 @freckles , it was just that part 2 was a part of it.

Answer 4

SO I just add my information into that formula?

Answer 5

part 3 sounds they are just asking you to make your own problem that will require a geometric sequence

Answer 6

Oh so I make a new problem?

Answer 7

sounds like it

Answer 8

But it does say "Use your scenario from part 2 to write a question that will lead to using the geometric series formula." So you use the same scenario but with different numbers?

Answer 9

you can replace minutes and days with something else too

Maybe you want to do something with cats and days
and then somehow you wind up with a lot of cats on day 5

Answer 10

change numbers and change variables

Answer 11

Oh ok!
So for example, Maddy works at a large animal shelter that is filled with 60 cats on Monday. Every day the shelter increases its amount of cats by 15%. If it continues this pattern, how many minutes will he spend at the gym on the 5th day?

Answer 12

So you just change the wording instead of the numbers.

Answer 13

the question needs fixing :p

Answer 14

well you can do both

Answer 15

What do you mean?

Answer 16

your question says how many minutes
you aren't even talking about minutes
your question also says something about a gym
there is no gym

Answer 17

Oh whoops I see!

Answer 18

Maddy works at a large animal shelter that is filled with 60 cats on Monday. Every day the shelter increases its amount of cats by 15%. If it continues this pattern, how many cats will be at the shelter on the 5th day?

Answer 19

@freckles

Answer 20

I think it would be cool you did a decreasing sequence just so you can do different math from part 2

Answer 21

Oh ok. The revised problem:
Maddy works at a large animal shelter that is filled with 60 cats on Monday. Every day the shelter decreases its amount of cats by 15%. If it continues this pattern, how many cats will be left at the shelter on the 5th day?

Answer 22

so now the number of cats will go down

Answer 23

yep yep

Answer 24

Thank you so much! It means a lot!

Answer 25

I think I would rather the amount of cats go down instead of up just because in real life we would totally be over occupying that animal shelter

Answer 26

Oh yeah that makes a lot more sense. I might change it to cat food instead.

Answer 27

do you know what the common ratio would be ?

Answer 28

.15 right. Now that it is decreasing

Answer 29

well you have 60 of something
and 15% of 60 is .15(60)
we want to do 60 minus .15(60) to figure out day 2
day 2: 60-.15(60 ) or factoring out 60 gives 60(1-.15)=60(.85)


so again we have 15% of the past day...
so we have 60(.85) to start with
then we want to take .15(60(.85)) off
so we do 60(.85)-.15(60(.85))
day 3: 60(.85)-.15(60(.85))) or factoring out the 60(.85) gives 60(.85)[1-.15]
but notice this equals 60(.85)(.85) or 60(.85)^2


you can continue this pattern
but you should see the common ratio is...

Answer 30

earlier for part the common ratio was 1+.15 since
we had increasing by 15%

here we have 1-.15 since we had decreasing by 15%

Answer 31

Wow thank you! I really understand this now.

Answer 32

anyways I think this is what they are asking for in part 3
is to make up your own problem that includes a geometric sequence

and you can use part 2 as a guide to writing it
that is what I think

Answer 33

Thank you thank you thank you!