Question

paula and nancy race at track practice. paula records her time in a table where her distance in yards, y, is a function of her time in seconds, x. nancy is new to the team, so she starts 10 yards ahead of the starting line. nancy runs 6 yards per second. describe the initial value of the function that represents paula’s run. the initial value is ? . it represents paula’s ? . paula: time (seconds), x 0 10 20 distance (yards), y 0 70 140

Explanation:

Step1: Recall the concept of initial value

The initial value of a function \(y = f(x)\) is the value of \(y\) when \(x = 0\).

Step2: Look at Paula's table

In Paula's table, when \(x=0\) (time \(x = 0\) seconds), \(y = 0\) (distance \(y=0\) yards).

Answer:

The initial value is \(0\). It represents Paula's starting distance (she starts at the starting - line).