Question

kira and lyra race at track practice. the equation and the graph each represent the runners distance from the start in yards, y, as a function of time in seconds, x. kira: y = 5x what is kiras speed? find the rate of change. kiras speed = \boxed{} yards per second

Explanation:

Step1: Recall the formula for speed

Speed is the rate of change of distance with respect to time. For a linear function \(y = mx + b\), the slope \(m\) represents the rate of change.

Step2: Identify the slope of Kira's equation

Kira's equation is \(y = 5x\). Comparing with \(y=mx + b\) (where \(b = 0\) in this case), the slope \(m = 5\).

Answer:

5