Question

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).

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 thirtieth row. Use complete sentences.

Answer 1

@ganeshie8

Answer 2

@Preetha

Answer 3

@mathmale

Answer 4

@phi

Answer 5

This is like a puzzle.

The first step is write down how many seats in, for example, the first 3 rows...
we have to look for a pattern

Answer 6

Hmmm. Can you help me out a little with that?

Answer 7

write down the labels
row # # of seats f(x) s(x)=3(x-1)


under row # start with 1

row # # of seats f(x) s(x)=3(x-1)
1

can you fill in the other stuff?

Answer 8

Okay
. 12 seats
. f(x)=12.
f(x)=3(12-1)

Answer 9

row # # of seats f(x) s(x)=3(x-1)
1 12 12

what goes in the last column? figure out s(1) which is 3(1-1)

Answer 10

Thats 2

Answer 11

3*(1-1) is not 2

Answer 12

order of operations, first do stuff inside parens. what is 1 - 1 ?

Answer 13

I was thinking to distribute

Answer 14

if you distribute , 3*(1-1) becomes 3*1 - 3*1
order of operations: do the multiplies to get 3 - 3
now the subtraction

Answer 15

Oh right.... darn...

Answer 16

So we have 3. What next?

Answer 17

3-3 is not 3

Answer 18

That one was a typo, hahaa. Its 0

Answer 19

ok, to be clearer, x is the row #
x=row # # of seats f(x) s(x)=3(x-1)
1 12 12 0
2

now fill in the next row, for row # 2 (meaning x=2)

Answer 20

15
15
3

Answer 21

are you sure f(x)= 15 ?? they don't say that

Answer 22

The say every row has 3 more seats than the one before it

Answer 23

yes, so 15 is ok for the number of seats in row 2
but they also say f(x) = 12
(notice that no matter what x is , we will get 12)

x=row # # of seats f(x) s(x)=3(x-1)
1 12 12 0
2 15 12 3
3 18 12 6


do you see how to figure out the # of seats in row 3 using f(x) and s(x) ?

Answer 24

Oh okay

Answer 25

do you see how to figure out the # of seats in row 3 using f(x) and s(x) ?

Answer 26

in fact, do you see how to figure out the # of seats in row 1, or row 2 using f(x) and s(x)?

Answer 27

Yes. There is one thing I cant understand. What does the outcome of the equation stand for?

Answer 28

the outcome of what equation ?

Answer 29

s(x)=3(x-1)

Answer 30

There are 2 ways to answer that. First, look at the numbers in the table. What is s(x) telling us compared to the number of seats in the row ?

or, try to interpret what they tell us
The number of additional seats a row has.... that is a bit unclear, but based on the numbers, it looks like it means the number of seats more than 12 that we use in a row

Answer 31

but, how do we figure out the number of seats in row 1, 2, or 3 using
f(x) and s(x) ?

Answer 32

Crap. Thanks for the help phi but ive got to go. Family emergency. I think ill be able to figure it out from here. Thanks!!!