The function for the cost of materials to make a shirt is $f (x) = \frac{5}{6} x + 5$ $f(x)=5/6x+5$ where xis the number of shirts. The function for the selling price of those shirts is g(f (x)), where $g (x) = 5 x + 6$ $g(x)=5x+6$ . How do you find the selling price of 18 shirts?

Question

9131 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-10-27T04:30:10

THe answer is $g (f (18)) = 106$ $g(f(18))=106$

If $f (x) = \frac{5}{6} x + 5$ $f(x)=5/6x+5$

and $g (x) = 5 x + 6$ $g(x)=5x+6$

Then $g (f (x)) = g (\frac{5}{6} x + 5) = 5 (\frac{5}{6} x + 5) + 6$ $g(f(x))=g(5/6x+5)=5(5/6x+5)+6$

simplifying

$g (f (x)) = \frac{25}{6} x + 25 + 6 = \frac{25}{6} x + 31$ $g(f(x))=25/6x+25+6=25/6x+31$

If $x = 18$ $x=18$

Then $g (f (18)) = \frac{25}{6} \cdot 18 + 31 = 25 \cdot 3 + 31 = 75 + 31 = 106$ $g(f(18))=25/6*18+31=25*3+31=75+31=106$

The function for the cost of materials to make a shirt is f(x)=56x+5f(x)=5/6x+5 where xis the number of shirts. The function for the selling price of those shirts is g(f (x)), where g(x)=5x+6g(x)=5x+6. How do you find the selling price of 18 shirts?