Solve the Problem $\$ 1.70$ the Total Cost to Regrind 100 Platens Is

Multiple Choice

Solve the problem.
-Regrind, Inc. regrinds used typewriter platens. The variable cost to regrind each platen is $\$ 1.70$ . The total cost to regrind 100 platens is $\$ 500$ . Find the linear cost function to regrind platens. If reground platens sell for $\$ 8.10$ each, how many must be reground and sold to break even?

A) $C ( x ) = 1.70 x + 500 ; 79$ platens
B) $C ( x ) = 1.70 x + 330$ ; 34 platens
C) $\mathrm { C } ( \mathrm { x } ) = 1.70 \mathrm { x } + 330 ; 52$ platens
D) $C ( x ) = 1.70 x + 500$ ; 51 platens