The cost to a newspaper company for Sunday home delivery is approximately $0.45 per newspaper with fixed costs of $2,050,000. How do you write a linear equation that relates the cost C and the number x of copies delivered?

Question

Eva Adamson · Accepted Answer

I would try: #C(x)=0.45x+2,050,000# Considering that you have a fixed amount #b# and a variable one #m# that depends on the number of copies #x# sold, you can use the general form for a (linear) equation: #y=mx+b#

Julia Adams · Answer

undefined The linear equation that relates the cost $ C $ and the number $ x $ of copies delivered is:

$$ C = 0.45x + 2,050,000 $$

Eva Adamson · Answer

undefined To write a linear equation that relates the cost C and the number x of copies delivered, we use the formula for total cost, which includes both fixed costs and variable costs. The variable costs in this case are the cost per newspaper multiplied by the number of copies delivered.

The formula for total cost (C) is:
C = (cost per newspaper * number of copies) + fixed costs

Given that the cost per newspaper for Sunday home delivery is $0.45 and the fixed costs are $2,050,000, we can plug these values into the formula to get the linear equation:

C = 0.45x + 2,050,000