The total daily cost (in dollars) of manufacturing scented candles is given by the function c(b) = 250 + 3b, where b is the number of candles manufactured. which function represents the average manufacturing cost, a, in terms of b?

answer

the answer is b:

  a(b) = (250+3b)/b

explanation

the average cost is found by dividing the total cost with the number of candles manufactured.

the total cost = 250 + 3b

number of candles = b

a(b) = (250 + 3b) ÷ b

a(b) = (250 + 3b)/b

example 2 – simplify: step 1: completely factor both the numerators and denominators of all fractions. step 2: change the division sign to a multiplication sign and flip (or reciprocate) the fraction after the division sign; essential you need to multiply by the reciprocal. step 3 : cancel or reduce the fractions.