Question

acme yearbook company will print 400 yearbooks for $20,000 or 800 yearbooks for $38,000. if the cost is linearly related to the number of yearbooks, how much would they charge for 650 yearbooks?

Answer 1

m = ($38,000 - $20,000)/(800 - 400)

= $18,000/400

= $45

$20,000 = $45(400) + b

$20,000 = $18,000 + b

b = $2,000

c(x) = $45x + $2,000

c(650) = $45(650) + $2,000

= $29,250 + $2,000

= $31,250