The rate of change is 10.
What is rate of change?
Rate of change is used to mathematically describe the percentage change in value over a defined period of time, and it represents the momentum of a variable. The rate of change is equal to the change in y values divided by the change in the x-values.
For the given situation,
Bicycling involves 3 miles in 15 min and 7 miles in 55 min.
Here consider miles in x axis and minutes in y axis.
So, [tex](x1,y1) = (3,15)[/tex] and [tex](x2,y2)=(7,55)[/tex]
The rate of change is
⇒ [tex]\frac{y2-y1}{x2-x1}[/tex]
⇒ [tex]\frac{55-15}{7-3}[/tex]
⇒ [tex]\frac{40}{4}[/tex]
⇒ [tex]10[/tex]
Hence we can conclude that the rate of change is 10.
Learn more about rate of change here
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