The area, A = f ( d ) in2, of a circular pizza is a function of the diameter d , in inches. A package of pepperoni costs $ 2.05 and covers 250 square inches of pizza.

Question

write a formula for f(d) and Find a formula for c= g(a) the cost in dollars of adding pepperoni to a pizza of area in²

Answer 1

Given that you are to work with composite functions, first match the units. The first function should give square inches per pizza, the second should then give cost per square inch. When these two fractions are multiplied, they yield cost per pizza. The square inches "cancel" (multiplicative identity) out. The first function returns square inches and the second function requires square inches as an input.

Answer 2

f(d) = (d / 2)²π

g(a) = [(d / 2)²π / 250]($2.05)