Question

eliana rides her bike from her home to the park, where she meets a friend. they bike together to a nearby town. the table shows elianas distance from home, y, as a function of the time she bikes with her friend, x.
what is the rate of change of the function?
rate of change = \frac{change in y - values}{change in x - values}=\frac{22 - 10}{2 - 0}
time (h), x | distance from home (mi), y
0 | 10
2 | 22
4 | 34
\frac{22 - 10}{2 - 0}=\frac{12}{2}

Explanation:

Step1: Identify change in y - values

$22 - 10=12$

Step2: Identify change in x - values

$2 - 0 = 2$

Step3: Calculate rate of change

$\frac{22 - 10}{2 - 0}=\frac{12}{2}=6$

Answer:

$6$