A theater has 60 seats on the front row. There are seven additional seats in each following row.

Part A: Write a rule to represent the number of seats in any given row as an explicit formula

Part B: How many seats are in the 18th row?

(a) y (x) = 53+7x

(b) 179

Step-by-step explanation:

Since the first row has 60 seats and next row has 7 additional seats then we can represent it as

First row=60

Second row=60+7=67

Third row=67+7=74

The difference is always 7. If you deduct 7 from dirst row we get 60-7=53 seats

To get rhe number of seats in any row x then let y be the number of seats in row x

y=53+7 (x)

For raw 1

Y=53+7 (1) = 60

For raw 2

Y=53+7 (2) = 67

Therefore, the formula for number of seats at any row will be

y (x) = 53+7 (x)

(b)

Using the above formula

y (x) = 53+7 (x)

Replace x with 18 hence

Y (18) = 53+7 * (18) = 179 seats