Answer:
[tex]C(x) = 0.093x+1.32[/tex]
Step-by-step explanation:
Given that the manager of a restaurant found that the cost to produce 100 cups of coffee is $10.62, while the cost to produce 600 cups is $57.12.
Also given that C(x) can be assumed as linear.
Hence we can treat cups X as independent variable and Y the cost for that
Slope of the line = change in y/change in x=[tex]\frac{57.12-10.62}{600-100} \\=0.093[/tex]
Take one point and use slope point formula for lines
[tex]y-y_1=m(x-x_1)\\y-10.62 = 0.093(x-100)\\y= 0.093x+1.32[/tex]
Change y to C(x)
[tex]C(x) = 0.093x+1.32[/tex]
