Solve the problem.
-The cost of manufacturing a computer part is related to the quantity produced, x, during a production run. When 100 parts are produced, the cost is $300. When 600 parts are produced, the cost is $4800. Find an equation
Of the line relating quantity produced to cost. Write the final answer in the form C = mx + b.
A) C = 600x + 9
B) C = 9x
C) C = 9x + 600
D) C = 9x - 600

Question

Quizplus · Accepted Answer

To find the equation of the line, we first calculate the slope (m) using the given points (100, 300) and (600, 4800). The slope m = (4800 - 300) / (600 - 100) = 4500 / 500 = 9. Then, using one of the points to solve for b in the equation C = mx + b, we get 300 = 9(100) + b, leading to b = 300 - 900 = -600. Thus, the equation is C = 9x - 600.

Solve the Problem. -The Cost of Manufacturing a Computer Part Is Related to Is