Question

Tarik rides a stationary bike and Janet rides her bike on a trail. Their data is shown

• Explain why the graph representing Janet's data does not model a proportional relationship.
• 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!!!

Answer 1

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.

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
`(7-0)/(2-0) =3.5` minutes per mile. (Answer)