The new candy store charges .45 per pound of candy someone buys. New customers receive a $4.50 discount for purchases of at least $4.50. The function f(x) = .45x - 4.50 models the cost, f(x), to buy x pounds of candy. What is an appropriate domain for the function?

Question

The new candy store charges .45 per pound of candy someone buys. New customers receive a $4.50 discount for purchases of at least $4.50.  The function f(x) = .45x - 4.50  models the cost, f(x), to buy x pounds of candy. What is an appropriate domain for the function?

tainted · Answer

f(x) = 0.45x - 4.50
f(0.1)=0.45 x 0.1 = 4.50
4.50 - 4.50 = 0

So 0.1 could be used as the domain