Solve the problem.
-A company can make 12 airplane engines for $57,600, while 30 airplane engines cost $68,580. What is the cost y(x)of producing x airplane engines.
A)y(x)= 610x + 50,280
B)y(x)= 18x + 10,980
C)y(x)= 610x - 50,280
D)y(x)= x + 10,980

Question

Quizplus · Accepted Answer

The cost function y(x) can be determined by finding the slope (cost per engine) and the y-intercept (fixed cost). The slope is found by the change in cost divided by the change in the number of engines: (68,580 - 57,600) / (30 - 12) = 10,980 / 18 = 610. This means each engine adds $610 to the total cost. To find the y-intercept, substitute one of the points into the equation y = 610x + b and solve for b: 57,600 = 610(12) + b, leading to b = 50,280. Therefore, the cost function is y(x) = 610x + 50,280.

Solve the Problem. -A Company Can Make 12 Airplane Engines for $57,600, While