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The amount of money (in dollars) that it costs to purchase x square feet of carpet is given by f(x)=4.9x . The installation fee is $75 more than 6% of the cost of the carpet. Write a function g that represents the installation fee. Then use this function to find the installation fee for 100 square feet of carpet.

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Answer:

Function: [tex]f(y)=75+0.294x[/tex]

Fee= $104.40

Step-by-step explanation:

let f(y) denote the installation fee. Given that the installation fee is $75 more that the purchase fee we represent it as:

[tex]f(y)=75+0.06f(x)\\\\f(y)=75+0.06\times 4.9\\\\f(y)=75+0.294x[/tex]

#We the substitute for x to find the installation fee:

[tex]f(y)=75+0.294x\\\\=75+0.294\times100\\\\=\$104.40[/tex]

Hence, the installation fee is $104.40

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