The function f(x) = 2.15(2x^2-4x-6) models the cost, in dollars, of a rug with width x feet. what is the cost of a rug that is 9 feet wide?

$258.

Step-by-step explanation:

Plug in 9 for X.

$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:

entering the value of x we get:

solving the expression

the cost for a rug that is 9 feet wide is $258

Cost of Rug of width x = f(x) = 2.1 5 ( 2x^2 -4x -6 )

To find cost of Rug of width 9 feet , we can replace x with 9 .

This gives us f(9 ) = 2.15 ( 2 * 9^2 - 4*9 -6 )

First we work on exponent then we do multiplication inside parenthesis then we would simplify the stuff inside parenthesis

. f(9) = 2.15 ( 2* 81 - 36 - 6)

f(9) = 2.15 ( 162 - 36 -6)

f(9) = 2.15 ( 120)

= 258

Answer = $258

Cost of Rug of width x = f(x) = 2.1 5 ( 2x^2 -4x -6 )

To find cost of Rug of width 9 feet , we can replace x with 9 .

This gives us f(9 ) = 2.15 ( 2 * 9^2 - 4*9 -6 )

First we work on exponent then we do multiplication inside parenthesis then we would simplify the stuff inside parenthesis

. f(9) = 2.15 ( 2* 81 - 36 - 6)

f(9) = 2.15 ( 162 - 36 -6)

f(9) = 2.15 ( 120)

= 258

Answer = $258

we are given

cost function as

we can plug x=9

and we get

we can simplify it

and we get

...........Answer

we are given

cost function as

we can plug x=9

and we get

we can simplify it

and we get

...........Answer