Question

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Part 1
Artemis wrote the equation y equals x plus 12 to represent the relationship shown in the table. Is this equation​ correct? Explain.
x
2
4
6
8
y
12
24
36
48
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Part 1
Select the correct choice below​ and, if​ necessary, fill in the answer boxes to complete your choice.
A.
Yes. Each value of y is 12 more than each value of x.
B.
No. Artemis compared the values in the row for y. The values of y are found by multiplying x by
  
enter your response here. The correct equation is
  
enter your response here.
​(Use the operation symbols in the math palette as​ needed.)
C.
No. Artemis compared the values in the row for x. The values of y are found by adding
  
enter your response here to y. The correct equation is
  
enter your response here.
​(Use the operation symbols in the math palette as​ needed.)
Explain.Explain.Explain.Explain.Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice.

Answer 1

B. No. Artemis compared the values in the row for y. The values of y are found by multiplying x by 6. The correct equation is y = 6x.

Explanation: y/x = 12/2 = 24/4 = 36/6 = 48/8 = 6, so y = 6x. (Also y = x + 12 fails: if x = 2, x + 12 = 14 ≠ 12.)