Express the relationship between distance and time in simplified form as a unit rate. Determine which statement correctly interprets this relationship.

Question

x - 4, 6, 8, 10
y - 184, 276, 368, 460

Answer 1

To find the relationship between distance and time as a unit rate, we need to calculate the distance divided by time for each set of values.

For (4, 184):
Unit Rate = 184 / 4 = 46

For (6, 276):
Unit Rate = 276 / 6 = 46

For (8, 368):
Unit Rate = 368 / 8 = 46

For (10, 460):
Unit Rate = 460 / 10 = 46

Therefore, the unit rate for the relationship between distance and time is 46. This means that for every unit of time, the distance traveled is 46 units.

The correct statement that interprets this relationship is: "The speed of the object is constant at 46 units per unit of time."