* Please skip to the very end for the answers simply written out. Read the entire way through for an in-depth explanation. :)
'Ello there. I'm assuming you're asking for assistance with question 16. So, now I've discovered your dilemma, and I aim to help.
The key to this problem is the beginning paragraph. In it, they basically explain that 10 sheets of stickers cost $20.50. This information is vital to completing the problem.
Since we know that 10 sheets of stickers are $20.50, we can divide $20.50 by 10 to get the cost for one/a single sheet of stickers. $20.50 ÷ 10 = $2.05. This means that 1 sheet of stickers costs $2.05.
$2.05 is also the answer to the fill in the blank that reads y = ______x. This is because y is the total cost for the stickers, whereas x is the number of sticker sheets. By multiplying the number of sticker sheets, or x, by $2.05, the cost of each sticker sheet, we can successfully determine y, the total cost for the sticker sheets.
Graph time! Now that we know the cost for one sticker sheet, the graph is really just a breeze. When we only know the number of sheets we should multiply the given x value by the cost for one sheet, $2.05, to find the total cost, or y, of that specific count of sticker sheets. When we only know the total cost we should divide the given cost by the cost for a single sheet, $2.05, to find the number of sheets, or x, for that specific (total) cost.
Using the method from the paragraph above, our procedure should look something like this: 3 * $2.05 = $6.15. The first blank for y is $6.15. $10.25 ÷ $2.05 = 5. The first blank for x is 5. $26.65 ÷ $2.05 = 13. The second, and final, blank for x is 13. 19 * $2.05 = $38.95. The second, and final, blank for y is $38.95.
And boom! With that, I have successfully finished answered all of the parts of problem #16 for you! Good luck, and happy schooling!
If you skipped to the end for the answers written simply, here you go:
The fill-in the blank should read y = $2.05x.
The pairs for the graph, in the classic (x, y) format, should read as follows:
(3, $6.15) , (5, $10.25) , (13, $26.65) , (19, $38.95) .
Have a great week; best of luck with your studies!