Question

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?

Answer 1

Answer:

$a. \ y=7x+60\\\\b.\ 186 \seats$

Step-by-step explanation:

-We notice that this is a linear relationship which is generally expressed as:

$y=mx+c$

Where

• x is the $x^{th}$ term
• y is the quantity at time x and
• c is the constant.

Given our constant value as 60 and the rate of change, m=7

let x be the row number and y the number of seats in the $x^{th}$ row.

-This is a linear relationship expressed as:

$y=mx+c\\\\y=7x+60$

b. From a above, we have the linear relationship as y=7x+60

#To find the number of seats in the 18th row, we substitute x with  the row number:

$y=7x+60\\\\=7\times 18+60\\\\=186\ seats$

Hence, there are 186 seats in the 18th row.