Answer:
Step-by-step explanation:
The given function : 
[
]
[
]
Now , Differentiate both sides with respect to x , we will get
(By Chain rule)
[Note :
]

[
]

Hence, the derivative of the given function is
.
Given:
The table of values is
Number of Students : 7 14 21 28
Number of Textbooks : 35 70 105 140
To find:
The rate of change and showing that the ratios of the two quantities are proportional and equivalent to the unit rate.
Solution:
The ratio of number of textbooks to number of students are




All the ratios of the two quantities are proportional and equivalent to the unit rate.
Let y be the number of textbooks and x be the number of students, then

Here, k=5.


Hence the rate of change is constant that is 5.
Answer:
0.25
Step-by-step explanation:
Since, in the question , it is not mentioned that two balls of any specific colour,
the probability of getting two balls is: 
After 3 hours, you will be on 450 mile marker.
Step-by-step explanation:
<u>step 1:</u> At start, the number in the mile marker is 100
<u>step 2:</u> After 4 hours, the number in the mile marker is 300
<u>step 3:</u> The difference of 300-100= 200. In 4 hours you crossed 200 mile markers.
<u>step 4:</u> Therefore, for 1 hour you can cross= 200/4= 50 mile markers.
For 3 hours, the number of mile markers crossed= 3*50= 150 mile markers.
<u>step 5:</u> After 3 hours, the number in the mile marker will be= 300+150= 450