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. describe the initial value of the function. the initial value is ?. it represents the distance between elianas home and ?. time (h), x distance from home (mi), y 0 10 2 22 4 34

Explanation:

Step1: Identify initial time

The initial time $x = 0$ in the table.

Step2: Find corresponding distance

When $x = 0$, the distance $y=10$ miles.

Step3: Interpret meaning

This 10 - mile distance is the distance from home when she starts biking with her friend, which is the distance from her home to the park.

Answer:

The initial value is 10. It represents the distance between Eliana's home and the park.