Problema Solution

The college bookstore sells a textbook that costs $80 for $94 and a textbook that costs $84 for $98.70. If the markup policy of the bookstore is linear, write a linear function that relates sales price S and cost C. What is the cost of a book that sells for $105.75?

Answer provided by our tutors

(80, 94)   (84,98.7)

we get slope =  98.7-94 / 84-80  =   1.175

equation becomes    S = 1.175C

so for a book selling for 105.75

C = S/1.175 = 105.75/1.175 = $90