Super Yoga plans
Super Yoga Plans- Basic Variables and Equations Beginning to evaluate which yoga plan is better for me
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- I'm in the mood to improve my flexibility
- a little bit so I decide to take some Yoga classes
- so I show up at the local yoga place called Super Yoga
- and ask them, "how much does it cost?"
- And they say, "we've got a basic plan"
- "and we've got a trial plan."
- The trial plan, if you just want to try things out,
- you can come to any of the sessions
- and it's going to cost you $12 per 1hr session.
- but if you like what you're doing here
- you might want to get a monthly membership
- That'll be $20/month,
- that you can view that as the basic plan
- It's $20/month and then you get a discount per session
- It'll only be $8 per session
- So this seems interesting, but I'm a little bit confused.
- Which plan should I take?
- So the first place, I might start is to think about
- how much I would pay
- depending on how many sessions I actually take
- And to do a little short hand here
- let's just define some variables
- Let's say that S = "Number of Sessions" I attend per month
- Number of sessions per month that I attend
- I decided to attend at Super Yoga
- And let's say that C = "Total Monthly Cost"
- My Total Monthly Cost
- So with these variables defined this way,
- let's think about how much I would pay
- under each of these plans
- depending on how many sessions I would attend
- So first, let's think about the, we'll start with the Trial Plan
- cause that seems a little simplier
- and I'll draw a little column here
- I have a cost, actually, let me see, I'll draw my number of sessions
- Number of sessions and then I have my cost
- and then I'm going to draw a little table here
- A little table, that'll be for my trial plan
- and then let's also do the same thing,
- since we're doing it for the trial plan
- let's do it for the basic plan so that we can compare
- Let's do it for the basic plan
- so I have the Number of sessions I attend
- and my Total Cost
- So let's first think about, if I decide to attend no sessions
- So if I decided to attend no sessions
- under my trial plan, what will be my cost?
- Well, $12 per session, 12 x no sessions
- Well, I'm not going to have to pay anything
- My cost is going to be zero
- Now what about that same question
- under the basic plan
- If I have the basic plan, but in a given month
- I attend no sessions,
- I don't go to the gym, I don't go to this yoga gym at all
- How much am I going to have to pay?
- Well, it's $8 per sessions
- I didn't have to go to any sessions
- So I'm not going to have to pay anything
- on a per session basis
- but I will have to pay that $20/month
- So I will have to pay $20
- even though I didn't even attend
- That doesn't seem so good in that scenario
- But let's keep working through other scenarios
- Let's think about the scenario where I attend 1 session
- Where I attend 1 session
- Under the trial plan, how much will I have to pay?
- Well, it's $12/session x 1 session
- I'm going to pay $12
- Let's think about that same scenario under the basic plan
- Under the basic plan, if I attend 1 session
- Well, it's $8/session x 1 session
- $8 for that
- Plus just the basic monthly
- So I'm just going to have to pay $20 + ($8 x 1)
- So $28.
- I'm going to have to pay $28
- So still that trial plan still looks pretty good
- even if I attend 1 session
- Let me make it clear
- That's in dollars
- and that over here is $28
- and I could keep going
- and I encourage you to keep going
- but let's try 1 more
- just to see how, just to get a feel for the numbers here
- If I attend 2 sessions under the trial plan
- How much am I going to pay?
- Well, it's $12/session x 2 sessions
- i'm going to pay $24
- Let's think about the basic plan
- if I attend 2 sessions
- -- let me do that in a yellow colour --
- if I attend 2 sessions
- 2 x $8/session, that's going to $16
- plus the $20 I'm going to have to spend every month
- So it's going to 2 x $8
- + $20
- = $16 + $20
- = $36
- So at least for the scenarios that we set up here
- if I attend 0 or 1 or 2 sessions
- the trial plan seems to be winning out
- but I want to explore at what point
- does the trial plan actually become a little bit worse
- But before we do that
- let's think about if we can represent this
- this a little algebraically
- because it's going to allow us to be a little bit more precise
- with coming up with our answers
- So if we say that, S is the "Number of Sessions per Month"
- and C is the "Monthly Cost"
- How can we express the trial plan as an equation?
- Well, we could say our Total Cost
- our Total Monthly Cost
- so this is for our trial plan right over here
- let me draw a dotted line over here to show
- well, the dotted line goes around there
- so under the trial plan our total cost is going to be equal to
- well, it's $12/session x # of sessions
- times S
- So under the trial plan I could say my total cost is equal to
- $12 x # of Sessions
- $12/session x the Number of Sessions
- Let's so the same thing with the basic plan
- How can we express that as an equation?
- Well, we have our total cost
- our total cost is going to be equal to
- well, regardless of what we do
- any given month, we're going to have to pay
- the $20/month
- we're going to have to pay that 20
- So no matter what we do,
- we're going to have to pay that 20
- just from the get-go
- and then we're going to pay $8/session
- so it's going to be $20 + ($8 x # of Sessions)
- so that's interesting and you can see
- if you put S is 0 here,
- if you make S = 0
- you get 20 + (8 x 0) which is 20
- if you say S is 1, you get 20 + (8 x 1)
- which is 28
- so you see that each of these S's and C's
- they satisfy this equation
- Same thing over here
- and we can keep trying more and more
- What's neat about these equations is
- just this equation encapsulates
- all of the possible combinations here
- and just this equation encapsulates
- all the possible combinations there
- and so for the next few videos,
- what I want to do is explore
- How can we use these equations
- to come up with more insights as to
- which plan is better for me
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