1) The function d = 50t + 55 has a rate of change of 50 miles per hour. The car travels at 60 miles per hour, which is a greater rate of change. Therefore, the car has the greater rate of change.
2) The table shows a constant rate of change: (2-0)/(4-0) = 0.5 and (4-2)/(8-4) = 0.5. The graph shows a line from (0,0) to (8,4), so its rate of change is (4-0)/(8-0) = 0.5. Both functions have the same rate of change.
3) The graph starts at (0,0), so its initial value is 0. The table starts at time 0 with distance 4, so its initial value is 4. Therefore, the table has the greater initial value.
4) The graph starts at (0,4), so its initial value is 4. The table starts at time 0 with distance 0, so its initial value is 0. Therefore, the graph has the greater initial value.
Parent Tip: Review the logic above to help your child master the concept of comparing linear equations worksheet.
