Let y be the number of square yards to carpet. The expression that represents the cost is:
[tex]45y+175[/tex]Now, the total square yards to carpet is:
[tex]7\cdot5.5=38.5[/tex]Using this in the expression we've defined from the start,
[tex]45(38.5)+175=1907.5[/tex]We'll get that the total cost to carpet the office is $1,907.50