At the Jumping Jack cookie factory, quality assurance inspectors remove broken or otherwise defective cookies from a moving conveyor belt prior to packaging. Based on past studies, the plant manager knows that the inspectors eliminate 98% of the defective cookies at a conveyor belt speed of 9 feet per minute. As the belt speed increases, the factory can produce more cookies per hour, but at the cost of lower quality of the packaged product. Inspectors collect only 60% of defective cookies at a belt speed of 18 feet per minute.
a. Make a graph with the belt speed on the x-axis and the corresponding inspection efficiency, in percent, on the y-axis. Graph the points (9, 98) and (18, 60).
b. Find an equation of the line through the given points. Write the equation in slope-intercept form. Round the slope and y-intercept each to 1 decimal place.
c. Use the equation from part (b) to predict the efficiency of the inspectors at a belt speed of 15 feet per minute. Round to the nearest percent.

Question

At the Jumping Jack cookie factory, quality assurance inspectors remove broken or otherwise defective cookies from a moving conveyor belt prior to packaging. Based on past studies, the plant manager knows that the inspectors eliminate 98% of the defective cookies at a conveyor belt speed of 9 feet per minute. As the belt speed increases, the factory can produce more cookies per hour, but at the cost of lower quality of the packaged product. Inspectors collect only 60% of defective cookies at a belt speed of 18 feet per minute.
a. Make a graph with the belt speed on the x-axis and the corresponding inspection efficiency, in percent, on the y-axis. Graph the points (9, 98) and (18, 60).  
b. Find an equation of the line through the given points. Write the equation in slope-intercept form. Round the slope and y-intercept each to 1 decimal place.
c. Use the equation from part (b) to predict the efficiency of the inspectors at a belt speed of 15 feet per minute. Round to the nearest percent.

Quizplus · Accepted Answer

The Answer of At the Jumping Jack cookie factory, quality assurance inspectors remove broken or otherwise defective cookies from a moving conveyor belt prior to packaging. Based on past studies, the plant manager knows that the inspectors eliminate 98% of the defective cookies at a conveyor belt speed of 9 feet per minute. As the belt speed increases, the factory can produce more cookies per hour, but at the cost of lower quality of the packaged product. Inspectors collect only 60% of defective cookies at a belt speed of 18 feet per minute.
a. Make a graph with the belt speed on the x-axis and the corresponding inspection efficiency, in percent, on the y-axis. Graph the points (9, 98) and (18, 60).  
b. Find an equation of the line through the given points. Write the equation in slope-intercept form. Round the slope and y-intercept each to 1 decimal place.
c. Use the equation from part (b) to predict the efficiency of the inspectors at a belt speed of 15 feet per minute. Round to the nearest percent.

At the Jumping Jack Cookie Factory, Quality Assurance Inspectors Remove