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?

C(x) = 225x - 700

C(x) = 225x + 700

C(x) = 700x - 225

C(x) = 700x + 225

Answer 1

585

Answer 2

The second function is correct - C(x) = 225x+700

Solution:
Test each of the four equations equations by plugging in 9 and 14 in place of x
Whichever one gives you 2275 for x=9 and 3850 for x=14 is the correct one.

Answer 3

price per sofa is the slope of the line containing the points \( (9,2725) \) and \((14,3850) \)

Answer 4

and additional 5 sofas costs an additional \(\$1125\) so the price per sofa is
\[\frac{1125}{5}=225\]