Graphing Proportional Relationships Quick Check

3 of 53 of 5 Items

Question
Use the table to answer the question.

x
y
(x, y)

0 (0, )

1 (1, )

2 (2, )

Complete the ordered pairs in the table by finding the y
-value of the ordered pairs for the equation y=5x
.

(1 point)
Responses

(0, 0)
, (1, 5)
, (2, 10)
left parenthesis 0 comma 0 right parenthesis , left parenthesis 1 comma 5 right parenthesis , left parenthesis 2 comma 10 right parenthesis

(0, 0)
, (1, 5)
, (3, 15)
left parenthesis 0 comma 0 right parenthesis , left parenthesis 1 comma 5 right parenthesis , left parenthesis 3 comma 15 right parenthesis

(0, 0)
, (1, 15)
, (2, 25)
left parenthesis 0 comma 0 right parenthesis , left parenthesis 1 comma Start Fraction 1 over 5 End Fraction right parenthesis , left parenthesis 2 comma Start Fraction 2 over 5 End Fraction right parenthesis

(0, 0)
, (5, 1)
, (10, 2)

1 answer

To complete the ordered pairs based on the equation \(y = 5x\), we can substitute the values of \(x\) into the equation to find the corresponding \(y\) values:

  1. For \(x = 0\): \[ y = 5(0) = 0 \quad \Rightarrow \quad (0, 0) \]

  2. For \(x = 1\): \[ y = 5(1) = 5 \quad \Rightarrow \quad (1, 5) \]

  3. For \(x = 2\): \[ y = 5(2) = 10 \quad \Rightarrow \quad (2, 10) \]

So, the completed ordered pairs are:

  • \((0, 0)\)
  • \((1, 5)\)
  • \((2, 10)\)

Therefore, the correct response is: \[ (0, 0), (1, 5), (2, 10) \quad \text{which is} \quad \text{left parenthesis 0 comma 0 right parenthesis , left parenthesis 1 comma 5 right parenthesis , left parenthesis 2 comma 10 right parenthesis} \]