Question

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



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


0.30 km/min

0.33 km/min

3.10 km/min

​3.33 km/min​
graph with x axis labeled time in minutes and y axis labeled distanced traveled in kilometers. a line starts at the origin 0 comma 0 and runs through the point 40 comma 12

Answer 1

The unit rate of the bicycle is 0.3 kilometers per minute.

Linear equation

A linear equation is in the form:

y = mx + b

where y, x are variables, m is the rate of change and b is the y intercept (initial value of y).

Let y represent the km travelled by the bicycle after x minutes. From the graph using the point (0, 0) and (40, 12), hence:

Unit rate (m) = (12 - 0)/(40 - 0) = 0.3 km/min

The unit rate of the bicycle is 0.3 kilometers per minute.

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