The graph shows a proportional relationship between the number of kilometers traveled (y) and the number of minutes spent traveling (x).



What is the unit rate, expressed in kilometers per minute?

Responses

0.25 km/min
0.25 km/min

0.40 km/min
0.40 km/min

1.50 km/min
1.50 km/min

2.50 km/min

1 answer

To determine the unit rate in kilometers per minute from a proportional relationship graph, you would look for the slope of the line, which represents the rate of change of kilometers (y) with respect to minutes (x).

Assuming from your question that the graph indicates a direct relationship between kilometers traveled and minutes, you can calculate the unit rate by taking any point on the line and dividing the kilometers by the minutes.

If, for example, you found that at a certain point on the graph (let's say at (x, y)), the values were \( y \) kilometers after \( x \) minutes, the unit rate would be:

\[ \text{Unit rate} = \frac{y \text{ kilometers}}{x \text{ minutes}} \]

Without specific values from the graph, I can only guide you through the method. You can use the values from the graph to calculate the rate.

However, based on the provided answer choices, if you have information from the graph or calculated an example, you could identify the correct unit rate from the options given:

  • 0.25 km/min
  • 0.40 km/min
  • 1.50 km/min
  • 2.50 km/min

Please verify the values from your graph to find your answer.