Common Core Core Performance Task
Road Maintenance A county’s Department of Transportation is repainting the lane lines on Main Street. Several streets that intersect Main Street are shown in the diagram below.
20 mi
3
14 mi
At 1 P.M., the work crew starts at the intersection of New Street and Main Street and moves toward the intersection of Main Street and Wilson Street, painting lane lines at an average speed of 5 mi/h. The work crew will take its afternoon break when it is 3 mi from the intersection of Main Street and Wilson Street.
Task Description Determine what time the work crew will take its afternoon break
Connecting the Task to the Math Practices As you complete the task, you’ll apply these Standards for Mathematical Practice.
• You’ll use a coordinate plane to model the streets in the diagram. (MP 4) • You’ll write equations of lines to represent streets, and you will write and interpret a function modeling a distance that changes over time. (MP 2)
