Concept explainers
For each of the following relationships, determine if it is proportional, inversely proportional, or neither. Explain your answer in each case.
a. John and David are running around the same track at the same speed. When David started running, John had already run 3 laps. Consider the relationship between the number of laps that David has run and the number of laps that John has run.
b. Kacey is running 100-meter dashes. Each time she runs at a different, but constant speed. Consider the relationship between the speed at which Kacey runs and the time it takes Kacey to run 100 meters.
c. Maleka is running at a constant speed. Consider the relationship between the time Maleka has spent running and the distance she has run.
d. Water is draining out of a tub at a constant rate. Consider the relationship between the time that has elapsed since water started draining out of the tub and the volume of water remaining in the tub.
e. Water is pouring into a tub at a constant rate. Consider the relationship between the time that has elapsed since water started pouring into the tub and the volume of water in the tub.
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