Q:

Tarik rides a stationary bike and Janet rides her bike on a trail. Their data is shown β€’ Explain why the graph representing Janet's data does not model a proportional relationship. β€’ Justify why the table of values representing Tarik's data does model a proportional relationship. What was Tarik's unit rate in minutes per mile? Enter your explanation, justification, and answer in the box provided. PLEASEEEEEE HELPPPP ASAP!!!

Accepted Solution

A:
Answer:Part a. The graph does not model a proportional relationship.Part b. The values in table model a proportional relation.3.5 minutes per mile.Step-by-step explanation:Part a.The graph shown in the question representing Janet's data is not a straight line although it passes through the origin.That is why the rate of change of distance with time is not constant.Therefore, the graph does not model a proportional relationship.Part b.If we plot the data in the table using distance in miles along the y-axis and time in minutes along the x-axis, then we will get a straight line passing through the origin.So, the values in the table model a proportional relation.Now, Tarik's unit rate in minutes per miles will be [tex]\frac{7-0}{2-0} =3.5[/tex] minutes per mile. (Answer)