Answer:
(A) The rate of change in the price of a bushel of corn in the current year is $7.
(B) The price of a bushel of corn in the current year is $2 more than the price of a bushel of corn in the previous year.
Step-by-step explanation:
The graph for the prices of different numbers of bushels of corn at a store in the current year is shown below.
Part A:
The rate of change in the price of a bushel of corn in the current year based upon the number of bushels is known as the slope of the line.
The formula to compute the slope is:

Consider the ordered pairs: (4, 28) and (10, 70)
Compute the slope of the line as follows:


Thus, the rate of change in the price of a bushel of corn in the current year is $7.
Part B:
The data for the price of bushels in the previous year is as follows:
Number of Bushels Price
2 10
4 20
6 30
8 40
Compute the rate of change in the price of a bushel of corn in the previous year based upon the number of bushels as follows:
Consider the ordered pairs: (2, 10) and (6, 30)


The rate of change in the price of a bushel of corn in the previous year is $5.
Thus, the price of a bushel of corn in the current year is $2 more than the price of a bushel of corn in the previous year.
Answer:
A) points at which paths intersect : (1,1,1) ; (2,4,8)
B) DNE
Step-by-step explanation:
A) To find the points in which the particle paths intersect, it is necessary to find the values of t for which the three components of both vectors are equal:

you replace t1 from the first equation in the second equation:

Then, for t2 = 0 and t2=1/2 you obtain for t1:

Hence, for t1=1 and t2=0 the paths intersect. Furthermore, for t1=2 and t2=1/2 the paths also intersect.
The points at which the paths intersect are:

B) You have the following two trajectories of two independent particles:

To find the time in which the particles collide, it is necessary that both particles are in the same position on the same time. That is, each component of the vectors must coincide:

From the first equation you have:

This values does not have a physical meaning, then, the particle do not collide
answer: DNE
I think the answer would be B
I think it's D. The area of A is k2 times the area of rectangle B
y is -2 is the answer for the question