Question

The function for the cost of materials to make a hat is f(x) = one half x + 1, where x is the number of hats. The function for the selling price of those hats is g(f(x)), where g(x) = x + 2. Find the selling price of 10 hats. A. 6 b. 8 c. 10 d. 12

Answer 1

Try to present the problem entirely in algebraic notation, not in words.

Cost of materials: f(x) = (1/2)x + 1
Selling price: g( f(x) ) = [ f(x)+2] = [ (1/2)x + 1 ] + 2

Evaluate the selling price for x = 10:

[ (1/2)(10) + 1 ] + 2 = 6+2 = 8 (answer)