Answer:
The insulation fee for 175 square feet of carpet is $237.
Step-by-step explanation:
The amount of money, f(x), that it cost to purchase x square feet of the carpet is:
f(x)= 8x
The insulation fee,g(x), is $125 more than 8% of the cost of the carpet,f(x), we have
g(x)=8% of f(x)+125
[tex]\Rightarrow=\frac{8}{100}\times (8x)+125[/tex]
[tex]\Rightarrow=0.64x+125[/tex]
The insulation fee for 175 square feet of carpet,
i.e for x=175
[tex]g(x=175)=0.64\times175+125=237[/tex]
Hence, the insulation fee for 175 square feet of carpet is $237.