Missy is organizing the seating arrangements for a concert in her local park. The first row's seats are modeled by the function f(x) = 10. To give everyone a good view, each row must have two more seats than the row before it. The number of additional seats a row has is modeled by the function s(x) = 2(x - 1).

Explain to Missy how to create an equation to predict the number of seats in any row. Describe how to determine the number of seats in the 20th row. Use complete sentences.

Question

Missy is organizing the seating arrangements for a concert in her local park. The first row's seats are modeled by the function f(x) = 10. To give everyone a good view, each row must have two more seats than the row before it. The number of additional seats a row has is modeled by the function s(x) = 2(x - 1).

Explain to Missy how to create an equation to predict the number of seats in any row. Describe how to determine the number of seats in the 20th row. Use complete sentences.

here_to_help15 · Answer

Your overall function will be 2(x-1) + 10.
Do you see when you plug in 1 for x, you will get 10 as answer? x=1 represents the first row.
x=20 will represent the 20th row.

anonymous · Answer

im soo confused lol i understand how we got the overall function but how would i "explain that to missy"

here_to_help15 · Answer

lol slapped the sense into "missy"

anonymous · Answer

could you help me think of a way to write that out in a sentence

here_to_help15 · Answer

I can try lol

anonymous · Answer

thanks you!!

anonymous · Answer

@Here_to_Help15

here_to_help15 · Answer

Normally, the # seats in row #n would be [ 10 + 2(n-1) ]. 
Indeed, #1 has 10 + 2(1-1) = 10 seats 
#2 has 10 + 2(2-1) = 12 seats, etc... 

But you now specify that the # of *additional* seats is s(x) = 2(x-1), or, 
s(#n) = 2(#n-1) additional seats. So in all, row #n would have 

[ 10 + 2(n-1) ] + s(#n) = 10 + 2(n-1) + 2(n-1) = 4n + 6.

anonymous · Answer

okay thank you!