Question

Andrea is designing the seating arrangement for a concert in her local park.

The 1st row can only have 10 seats, and each row must have 4 more seats than the row in front of it.

How many seats will be in the 10th row of seats?

Answer 1

There are 46 seats in row 10

Explanation:

In order to find that we need to write this as an equation. We know that 6 is the constant and 4 is the coefficient for the variable. This would give us the equation:

y = 4x + 6

And this satisfies the equation for row 1, since when we put in the row number for x, it gives us the correct number of seats.

y = 4x + 6

y = 4(1) + 6

y = 4 + 6

y = 10

Now we can use that equation for any row. Let's use it for row 10

y = 4x + 6

y = 4(10) + 6

y = 40 + 6

y = 46