Question

The seats in a movie theater are arranged so that each row has 6 more seats than the row in front of it. If the first row has 24 seats, how many seats are in the 6th row?a. 30b. 48c. 54d. 60

Answer 1

The given information is:

- The first row has 24 seats.

- Each row has 6 more seats than the row in front.

This situation can be modeled by the following equation:

$y=a+b(x-1)$

Where y is the number of seats in the current row, a is the number of seats in the first row, b is the number of additional seats in each new row, and x is the number of the row (we subtract 1 because we need to add 6 chairs, without taking into account the first row).

Let's check for the second row:

$\begin{gathered} y=24+6(2-1) \\ y=24+6(1) \\ y=30 \end{gathered}$

The second row has 6 more seats than the first row, now we have proved the equation works, we can apply it to the 6th row by replacing x=6:

$\begin{gathered} y=24+6(6-1) \\ y=24+6(5) \\ y=24+30 \\ y=54 \end{gathered}$

There are 54 seats in the 6th row.

The answer is C. 54