Answer:
Unit rates for cyclist A , B, C , D are 12 mile/ hour , 5 mile/hour, 9 mile/hour and 10 mile/hour respectively. Cyclist A is the fastest among the four.
Step-by-step explanation:
Cyclist A can ride 24 miles in 2 hours
so, cyclist A's unit rate is, ![\frac {24}{2}](https://tex.z-dn.net/?f=%5Cfrac%20%7B24%7D%7B2%7D)
= 12 mile/hour
Cyclist B's unit rate is, ![\frac {5}{1}](https://tex.z-dn.net/?f=%5Cfrac%20%7B5%7D%7B1%7D)
= ![\frac {10}{2}](https://tex.z-dn.net/?f=%5Cfrac%20%7B10%7D%7B2%7D)
= ![\frac {15}{3}](https://tex.z-dn.net/?f=%5Cfrac%20%7B15%7D%7B3%7D)
= 5 mile/hour
Equation for cyclist C is, y = 9x ,
so, cyclist C's unit rate is , 9 mile/hour
Slope of the graph for cyclist D,
= ![\frac {10 -0}{1 - 0}](https://tex.z-dn.net/?f=%5Cfrac%20%7B10%20-0%7D%7B1%20-%200%7D)
= 10
So cyclist D's unit rate is, 10 mile/hour
So, cyclist A is the fastest.