Answer:
Runner #2 has the fastest pace.
Step-by-step explanation:
Runner #1's pace is 10 minutes per mile. You can see this shown in the graph where the line hits the halfway mark on the y axis at one minute, or (1,10). This is the unit rate of minutes per mile for Runner #1's speed.
Runner #2's pace is 8.5 minutes per mile. You can see this shown in the equation used to represent their speed, t=8.5d. T stands for time and d stands for distance. This means that 8.5 represents how much time it takes to travel the distance of a mile. This is the unit rate of minutes per mile for Runner #2's speed.
Runner #3's pace is 9 minutes per mile. You can see this shown in the table through division. To figure out how much time it takes to travel one mile, you need to divide the time by the distance. 18÷2=9, 36÷4=9, 54÷6=9 72÷8=9, 90÷10=9, and so on. The pattern here is that the result is all 9. This is the unit rate of minutes per mile for Runner #3's speed.
10>8.5 8.5<9
It takes Runner #2 the least amount of time to travel a mile, so Runner #2 has the fastest pace.
Hope this helps!
