Part a: Option D 18 feet per second
Part b: increasing
Solution:
Height 
Part a: To find the average rate of change for h(t) between t = 0 and t = 2.
Substitute t = 0 in h(t).

h(0) = 3
Substitute t = 2 in h(t).
h(2) = 39
Average rate of change formula:

Here, a = 0 and b = 2.



= 18
Average rate of change = 18 feet per second
Option D is the correct answer.
Part b:
This means height of the ball is increasing for 0 < x < 2.
Ok so you know the first garden needs 1 and 2/5 bags of soil. Now first we need to find one fifth of that. So let's make this mied number into an improper fraction:
1 2/5 = 7/5
Ok now let's divide 7/5 by 5:
7/5 divided by 5/1 = 7/25
So Jared will need 7/25 bags of soil for his second garden, but we're STILL not done. now we have to add for the TOTAL.
1 2/5 + 7/25 > 7/5 + 7/25 > 7 x 5 = 35 > 35/25 + 7/25 = 42/25
_________
5x 5 = 25
Now let's simplify it to 1 and 17/25
You would start at (0,36) and then move to (1, 24) , (2,12), (3,0) because he gives out 12 bags per hour
The question is incomplete.Here is the complete question.
The load that can be supported by a rectangular beam varies jointly as the width of the beam and the square of its length, and inversely as the length of the beam. A beam 13 feet long, with a width of 6 inches and a height of 4 inches can support a maximum load of 800 pounds. If a similar board has a width of 8 inches and a height of 7 inches, how long must it be to support 1300 pounds?
Answer: It must be 392 inches or approximately 33 feet.
Step-by-step explanation: According to the question, the measures (width, length and height) of a beam and the weight it supports are in a relation of <u>proportionality</u>, i.e., if divided, the result is a constant.
For the first load:
width = 6in
height = 4in
length = 13ft or 156in
weight = 800lbs
Then, constant will be:


k = 1300
For the similar beam:

L = 49.8
L = 392in or 32.8ft
A similar board will support 1300lbs if it has 392 inches or 32.8 feet long.
Answer:
18k
Step-by-step explanation:
did math on this a few weeks ago