Answer:
\(\boxed{\boxed{y=5-\dfrac{1}{3}x}}\)
Step-by-step explanation:
A student is running a 5-kilometer race i.e the total distance is 5 km.
He runs 1 kilometer every 3 minutes.
So the speed will be,
\(\text{Speed}=\dfrac{\text{Distance}}{\text{time}}\)
\(\text{Speed}=\dfrac{1}{3}\)
Speed is the rate of change or slope and as the total distance is decreasing with time so it will in negative, hence
\(\text{Slope}=-\dfrac{1}{3}\)
So when on x axis time and y axis distance is represented, 5 will be the y intercept.
Then putting all the values in slope intercept form of straight line,
\(\Rightarrow y=mx+c\)
\(\Rightarrow y=-\dfrac{1}{3}x+5\)
\(\Rightarrow y=5-\dfrac{1}{3}x\)
