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 0. it represents paula’s distance from the start.
paula:

time (seconds), x	0	10	20
distance (yards), y	0	70	140

describe the initial value of the function that represents nancy’s run.
the initial value is blank. it means that nancy blank.

Explanation:

Step1: Understand the concept of initial value

The initial value of a function is the value of the function when the independent variable (in this case, time \(x\)) is \(0\).

Step2: Analyze Nancy's situation

Nancy starts \(10\) yards ahead of the starting line. When \(x = 0\) (at the start, time \(0\) seconds), her distance \(y\) from the starting - line is \(10\) yards.

Answer:

The initial value is \(10\). It means that Nancy is \(10\) yards from the starting line at time \(x = 0\) seconds.