Algebra-1

To determine who had the greatest rate of change, let's analyze the information given and compare Susan's biking rate with the distances Nicole biked over different time periods.

 

Susan's Biking Rate (Susan's graph):

Data points available on the graph:(0, 0) (1, 5)(3, 15)(5 ,25)

Rate of change =

 

Between (0, 0) and (1, 5):

Rate of change =

 

Between (1, 5) and (3, 15):

Rate of change =

 

Between (3, 15) and (5, 25):

Rate of change =

 

Therefore, Susan's Biking Rate is 5 miles per week.

 

Nicole's Biking Distances:

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