college algebraa

Question

A company regrinds used typewriter platens. The variable cost to regrind each platen is

$1.30. The total cost to regrind 60 platens is $300. Find the linear cost function to regrind platens. If reground platens sell for $10.90 each, how many must be reground and sold to break​ even?

The cost function is

​C(x)=1.3x+300.

25

platens must be reground.

B.

The cost function is

​C(x)=1.3x+222.

24

platens must be reground.

C.

The cost function is

​C(x)=1.3x+300.

32

platens must be reground.

D.

The cost function is

​C(x)=1.3x+222.

19

platens must be reground.

Answer 1

C(x) = 1.3x + 222

set that equal to revenue = 10.9x

10.9x = 1.3x + 222

9.6x = 222

x = 222/9.6 = 23.125 which is closer to 24 than any of the other choices

Go with B