Question

URGENT!!! I NEED MATH HELP ASAP!!! I don't understand this assignment at all! It has 5 parts, the first four are charts or graphs I have to fill out and the last one is written reflection of the first four. I'll insert pictures.

Part A
The table shows the number of bushels of corn produced based on the crop size in square yards. Write a function and sketch a graph to represent this situation. (see 1st picture) - just tell me what to write for the function, and the coordinates for the sketch

Part B
The graph shows the weight of a shipment in pounds based on the bushels of corn it contains.
Write a function and fill in the table to represent this situation. (see 2nd picture) - tell me what to write in the table, and what to write for the function

Part C
The function P(x) = 4x represents the selling price of a shipment of corn based on the number of bushels sold. Fill in the table and sketch a graph to represent this situation. (see 3rd picture) - tell me what to write in the table, and the coordinates for the sketch on the graph

Part D
Five bushels of corn can be converted into 14 gallons of ethanol. The amount of ethanol produced varies directly with the number of bushels of corn used. Write a function, fill in the table, and sketch a graph to represent this situation. (see 4th picture) - this one's really confusing, tell me the function, what to put in the tale, and the coordinates for the sketch on the graph

Part E
Look back at all of these examples of direct linear variation which are proportional relationships. What common characteristics do they have to distinguish them from non-proportional relationships? What distinguishes their equations from non-proportional relationships?

IF YOU DO HELP, THANK YOU. IF YOU CAN'T HELP, DON'T ANSWER ANYTHING. ANSWERS ONLY PLEASE. LATE ANSWERS WELCOME, BECAUSE BETTER LATE THAN NEVER.
||45 points||

Answer 1

Answer: You can tell a graph is proportional if the points form a single line and that line passes through the origin. The relationship between input and output figures will also remain the same throughout.

Explanation:

Answer 2

First off, 23+12 isn't 45.

Anyways, Part A, graphing should be pretty simple, just match the corresponding values together as shown by the table on the left. For example, for the crop size that says "200," go up to where the value is seven, and mark it.

The function is also not that hard. Make "x" equal the value of the crop size. (Square yards) Thus for "x" crop size, the function B(x) = 3.5/100.

Part B
W(x) = 60*x

For the completing the table, just plug in some values for "x" (remember "x" is "Bushels of corn in a shipment") like 1, 2, 3, 4 etc, and write the corresponding output next to it.

Part C
The given information literally tells you the answer. P(x) = 4x. That's ur function. So for the graph, say "x" ("Bushels of Corn") is 1, than the corresponding "y" value ("Selling Price") is 4, since P(x) = 4*x.

As for completing the table, once again, just write in several values, geez. For example, "Bushels of Corn" = 5, than "Selling Price" = 20.

The function basically is the key to all the answers.

Part D
Alright, remember, once you get the function, you have all the answers. 5 Bushels of corn equals 14 gallons of ethanol, so the function is
E(x) = 14/5. (And remember, the "x" value is "bushels of corn")

The table and graph are easy to do, since you know the function, however the "y" axis values on the graph are kind of challenging to deal with, but I have faith that you can estimate and mark the values close enough.

Here's my best explanation for Part E,

Proportional relationships have graphs that always pass through the origin of a graph, while non-proportional graphs don't. And also, proportional relationships always have consistent ratios, while non-proportional relationships don't. And for their equations, proportional relationships equations are always one step, (Ex: y = 5x) while non proportional equations are two-step equations, which means they contain a constant value that is added or subtracted on the left side. (Ex: y = 3x - 12)