Question

Fantastic Furniture builds sofas. It costs $2,725 to build 9 sofas and $3,850 to build 14 sofas.

Which equation represents the cost, C(x), as a linear function of the number of sofas, x?

Answer 1

C(x) = 225x - 700

C(x) = 225x + 700

C(x) = 700x - 225

C(x) = 700x + 225

Answer 2

let a be basic cost and b be manufacturing cost..

so a + 9b = 2725
and a + 14b = 3850

so 14a + (9 * 14)b = 2725 (14)
9a + (9 * 14)b = 3850 (9)
subtract
5a = 3500

a = 700
b = 225

so C(x) = 700 + 225x

Answer 3

thanks!

Answer 4

w/c..