a. To find Lin's rate, we will divide the total distance that she biked by the time she took to cover that distance.
Given that:
distance = 1.5 km
time = 5 minutes
![\text{rate}=\frac{\text{distance}}{\text{time}}=\frac{1.5\operatorname{km}}{5\min}=0.3\operatorname{km}\/\min]()
This means that Lin's unit rate is 0.3 km/min.
b. The point that would represent Lin's unit rate would be at ( 1, 0.3 )
c. To find Andre's rate, we will be using the same method we used to find Lin's rate.
Given that:
distance = 2 km
time = 8 minutes
![\text{rate}=\frac{\text{distance}}{\text{time}}=\frac{2\operatorname{km}}{8\min }=0.25\operatorname{km}\/\min]()
d. The point that would represent Andre's unit rate would be at ( 1, 0.25 )
e. Lin was biking a bit faster than Andre, as we can see from the graph:
Lin is going faster by 0.3 kilometer per minute, while Andre is going at 0.25 kilometer per minute.