HI

- anonymous

HI

- Stacey Warren - Expert brainly.com

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- chestercat

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- Hero

Well, actually, it seems that you've made at least one mistake in your computation. But the overall approach appears to be correct.

- Hero

Let's go over it step by step using an example.

- Hero

Suppose you have
\(-y^2\)
And \(y = 6\)
What value is \(-y^2\) equal to?

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- Hero

Yes. Correct. Now you must ask yourself if your approach here is consistent with what you did above.

- Hero

There's one way to know for sure if it is correct.

- Hero

Yes, but you want to know if what you've done is correct, right?

- Hero

Graph to check: https://www.desmos.com/calculator/kuypcivoou

- Hero

What do you think it means?

- Hero

Mind sharing what you think it means?

- Hero

Actually (x,y) = (25, 361)
What the question wants us to do is describe the relationship between the x and y values for the vertex in terms of what is stated in the problem.

- Hero

The first thing you should do is go back and ask yourself what x and f(x) represent.

- Hero

Exactly, so now in a single sentence, interpret the values of x = 25 and f(x) = 361 in terms of what each represents.

- Hero

You're on the right track, but do it in a way that shows the relationship. Say it this way:
The yoga studio made $361 in profit for the 25 members it processed in its current month.

- Hero

And yes, add "maximum profit" in that sentence as well. You were right with that.

- Hero

To find the x-intercepts, simply replace f(x) with zero, then solve for x.

- Hero

I'm sure you can figure this out on your own if you made it that far.

- Hero

Looks right.

- Hero

Now you have to ask yourself if both values for x make sense.

- Hero

If one of them doesn't make sense, you're supposed to discard that value.

- Hero

Does x = 6 make sense as well?

- Hero

Explain

- Hero

Remember, the x and y values always come in pairs. In this case we have
(x,y) = (6,0)

- Hero

How much profit was made from the six memberships?

- Hero

Well, in this case, there is a plausible explanation for the six memberships.

- Hero

If we assume that this is the first month of operation for the yoga studio since its grand opening, as part of its advertisement, the yoga studio could have stated something like, "The first six customers get a free membership".

- Hero

It's a bit of a stretch, but it's a plausible explanation.

- Hero

The other plausible explanation is that the first six members represent the original team who put the business together in the first place so of course they don't make any money off themselves.

- Hero

The question says to explain each value in the context of the problem. We already know there's no such thing as negative members. That is impossible. However, for x = 6, for this particular problem we can't make sense of it either unless we come up with plausible explanations such as what I posted above. That's all you can do for this question.

- Hero

Actually, the other point is (44,0) so you must have made a sign mistake somewhere.

- Hero

https://www.desmos.com/calculator/mebdvn94g7

- anonymous

really?

- anonymous

ohh ok i see my mistake!

- Hero

Yes, really. Which basically makes it a bit more difficult to explain why they have no profit after gaining 44 members.

- anonymous

oh gosh

- anonymous

They could have had a raffle and chose 44 people to get a free membership?

- Hero

No, according to the graph, after 25 members, they start losing profits, so we have to explain in terms of that.

- anonymous

ugh i have no clue >:(

- Hero

The plausible explanation is that the studio can support up to 25 members at a time. If they have more than 25 members, then they have to rent more building space, purchase more equipment, etc.

- Hero

Which causes them to lose the profits they gained. We should assume that the business is a small startup.

- anonymous

oh ok

- anonymous

Thank you so much for your time!

- Hero

You're most welcome. Great job on this one.

- Hero

I cannot help you with anymore questions.

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