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
minutes per mile. (Answer)
A. d=50t B. 50,100,150,200,250 C. 50 days
Let
be the line that passes through both points.
We know that
and
. So:

Solving the system, we get that a= -1 and b = 6.
So the line is equal to
.
Answer:
y = 18
Step-by-step explanation:
Direct variation means y will change by the same factor x does. When x changes by a factor of 15/10 = 1.5, the value of y will change by that same factor
x = 10, y = 12
x= 15, y = 1.5×12 = 18
The new value of y is y = 18.
_____
Written as a proportion, you have ...
y/15 = 12/10
y = 15×12/10 = 18
__
Written as a direct variation equation, you have ...
y = kx
12 = k·10 ⇒ k = 1.2
y = 1.2·15 = 18 . . . . for x=15