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OpenStudy (anonymous):
Crystal is organizing the seating arrangements for a concert in her local park. The first row's seats are modeled by the function f(x) = 12. To give everyone a good view, each row must have three more seats than the row before it. The number of additional seats a row has is modeled by the function s(x) = 3(x - 1).
OpenStudy (anonymous):
Explain to Crystal how to create an equation to predict the number of seats in any row. Describe how to determine the number of seats in the 30th row.
OpenStudy (cwrw238):
Make a series of terms, on for each row:-
x = 1 2 3
12 12 + 3(2 - 1) 12 + 3(3 - 1)
do you see the pattern here?
OpenStudy (cwrw238):
what what be the formula for the nth row in the series?
OpenStudy (anonymous):
yes, i keep going until i hit 30 rows
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OpenStudy (anonymous):
12+3(30 + 1)
OpenStudy (cwrw238):
yes or you could use a formula to find the 30th row directly
OpenStudy (cwrw238):
right
OpenStudy (cwrw238):
quite easy really
OpenStudy (cwrw238):
nth row = 12 + 3(n - 1)
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OpenStudy (anonymous):
and then insert 30?
OpenStudy (cwrw238):
yea
OpenStudy (anonymous):
so it should be 30 = 12+3(n-1)?
OpenStudy (cwrw238):
no you REPLACE the n by 30
30th row = 12 + 3(30 - 1)
OpenStudy (anonymous):
ooooh okay, thanks man you have no idea how much this helps
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