Mathematics
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OpenStudy (caroline1218):
SOMEONE PLEASE HELP ME WITH THIS PROBLEM! I WILL FAN AND MEDAL!
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OpenStudy (caroline1218):
OpenStudy (anonymous):
:P
OpenStudy (caroline1218):
@Juliusmattos12 You think it is D?
OpenStudy (anonymous):
yes
OpenStudy (caroline1218):
How did you get D?
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OpenStudy (caroline1218):
@jhonyy9 @imqwerty @nincompoop @mathmale @pooja195
OpenStudy (xapproachesinfinity):
break even ha
what is the equation you established from this load of words?
OpenStudy (xapproachesinfinity):
have you got one yet?
OpenStudy (caroline1218):
My equation was 1,300 + (10t - 3) = 1,800 + 1,500
OpenStudy (xapproachesinfinity):
hm
denote the profit F and number of ticket n
F(n)=10n-3n-1800-1500
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OpenStudy (xapproachesinfinity):
why is this equation right or wrong?
OpenStudy (caroline1218):
What do you mean?
OpenStudy (xapproachesinfinity):
this equation is just wrote do you thing I'm right or wrong?
OpenStudy (caroline1218):
Um, I'm not sure. I thought the equation I wrote was ok, but now idk.
OpenStudy (xapproachesinfinity):
hhhh your equation seemed somewhat good but there is something messing
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OpenStudy (xapproachesinfinity):
missing*
OpenStudy (xapproachesinfinity):
at any rate, -3n because of each ticket sold we give free hat
the number of hats depend on the number of fans which tells us number of tickets sold
OpenStudy (xapproachesinfinity):
naturally 10n is the what you make not including what you pay for players and worker
and the cost of all free hats
OpenStudy (xapproachesinfinity):
so makes sense that the actual profit is 10n-3n-1800-1500
OpenStudy (xapproachesinfinity):
this is a general equation for the situation
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OpenStudy (xapproachesinfinity):
break even is when total cost equal profit
OpenStudy (caroline1218):
Ok
OpenStudy (xapproachesinfinity):
the profit we desire is 1300
so we have to solve this equation
1300=7n-1800-1500
OpenStudy (caroline1218):
When using that equation I got 657.143??
OpenStudy (xapproachesinfinity):
if i don't make sense disregard this hehehe
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OpenStudy (xapproachesinfinity):
so n=657
no decimal round
this is real life problem
OpenStudy (xapproachesinfinity):
we say roughly 657 tickets to break even
OpenStudy (caroline1218):
But that's not one of the answer options.
OpenStudy (xapproachesinfinity):
so what are the options
OpenStudy (xapproachesinfinity):
oh i see the options
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OpenStudy (mathstudent55):
Let t = number of tickets
Revenue: 10t + 1300
Expenses: 1800 + 1500 + 3t
Break even when revenue = expenses
10t + 1300 = 1800 + 1500 + 3t
7t = 2000
t = 2000/7 = 286
OpenStudy (xapproachesinfinity):
i see where i missed
OpenStudy (xapproachesinfinity):
286 is the exact number of tickets to break even
OpenStudy (xapproachesinfinity):
based on that you need to figure out the smallest number of tickets to break even