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

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

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

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

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

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

What do you think it means?

Mind sharing what you think it means?

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

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

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

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

Looks right.

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

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

Does x = 6 make sense as well?

Explain

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

How much profit was made from the six memberships?

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

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

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

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

really?

ohh ok i see my mistake!

oh gosh

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

ugh i have no clue >:(

oh ok

Thank you so much for your time!

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

I cannot help you with anymore questions.