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. assume the cost c(x) is a linear function of x, the number of cups produced. answer parts a through f. a. find a formula for c(x). c(x)equals nothing (use integers or decimals for any numbers in the expression.)

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=

Take one point and use slope point formula for lines

Change y to C(x)

answer: cos [   arcsin (3/5) - arccos (1/2) ] =

step-by-step explanation: × = 3/5 = 0.6--> x = 36.87 and x = 180 - 36.87 = 143.13 deg

cos y = 1/2 --> y = +- 60 deg a. cos (x - y) = cos (143.13 - 60) = cos 83,13  

=

0.12

b. cos (36.87 - 60) = cos (-23.23) = 0.92