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

F ( x )  - the number of seats in the 1st row;
s ( x ) - the number of additional seats in the next row;
An equation that predicts the number of seats in any row:
g ( x ) = f ( x ) + s ( x )
g ( x ) = 12 + 3 ( x - 1 )
The number of seats in the 30th row:
g ( 30 ) = 12 + 3 * ( 30 - 1 ) = 12+ 3 * 29 = 12 + 87 = 99 seats