Question

A proportional relationship is represented by the equation y=5x. Create a table for this relationship.

a)x=1,y=5;x=2,y=10;x=3,y=15
b)x=1,y=4;x=2,y=8;x=3,y=12
c)x=1,y=6;x=2,y=12;x=3,y=18

Answers

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Answered by GPT-4o mini
The proportional relationship represented by the equation \( y = 5x \) means that for every value of \( x \), \( y \) is equal to 5 times \( x \).

Let’s create a table for this relationship by plugging in the values of \( x \):

\[
\begin{array}{|c|c|}
\hline
x & y \\
\hline
1 & 5 \times 1 = 5 \\
2 & 5 \times 2 = 10 \\
3 & 5 \times 3 = 15 \\
\hline
\end{array}
\]

Based on the options provided:
- **a)** \( x=1, y=5; x=2, y=10; x=3, y=15 \) is correct.
- **b)** and **c)** do not correspond to the equation \( y=5x \).

So, the correct option is **a)**.

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