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16 March, 00:11

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?

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  1. 16 March, 01:10
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    (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
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