Answer:
$258
Step-by-step explanation:
What we have is a function where we must plug an x value for the width of the rug, and we will get the cost.
What we need to do is substitute x = 9 in the equation:
[tex]f(x) = 2.15(2x^2-4x-6)[/tex]
entering the value of x we get:
[tex]f(9) = 2.15(2(9)^2-4(9)-6)[/tex]
solving the expression
[tex]f(9) = 2.15(2(81)-36-6)\\f(9)=2.15(162-36-6)\\\\f(9)=2.15(120)\\f(9)=258[/tex]
the cost for a rug that is 9 feet wide is $258