Question

There are 78 rows of seats in a concert hall. There are 25 seats in the first row, 27 seats in the second row, 29 seats in the third row, and so on. Write an explicit formula that can be used to calculate the number of seats in any row of the concert hall."

A) Seats=25+2×Row number
B) Seats=25+2×(Row number−1)
C) Seats=25×Row number
D) Seats=25×(Row number+1)

Answer 1

The explicit formula to calculate the number of seats in any row of the concert hall is Seats = 25 + 2 × (Row number - 1).

Step-by-step explanation:

The explicit formula that can be used to calculate the number of seats in any row of the concert hall is: Seats = 25 + 2 × (Row number - 1)

To find the number of seats in a specific row, you can substitute the row number into the formula. For example, if you want to find the number of seats in the 5th row, you would plug in 5 for the row number: Seats = 25 + 2 × (5 - 1) = 25 + 2 × 4 = 25 + 8 = 33 seats.

So, the correct answer is B) Seats=25+2×(Row number−1).