Answer:
A. 106
Step-by-step explanation:
Given function that represents the cost of materials to make x shirts,
\(f(x) =\frac{5}{6}x+5----(1)\)
Also, the function for the selling price of x shirts,
\(g(f(x))\)
Where, \(g(x)=5x+6---(2)\)
From equation (1),
\(g(f(x))=g(\frac{5}{6}x+5)\)
\(=5(\frac{5}{6}x+5)+6\)
\(=\frac{25}{6}x+25+6\) ( From equation (2) )
\(=\frac{25}{6}x+31\)
For 18 shirts, i.e. x = 18
The selling price would be,
\(g(f(18))=\frac{25}{6}\times 18+31=75+31=106\)
Option 'A' is correct.
