Question

# of mules:2, 4, 6, 8, 10
Bales of hay 1, 2, 3, 4, 5
Which equation matches this table?

Responses

y = x + 2
y = x + 2

y = -2x + 1
y = -2x + 1

y = 1/2 x
y = 1/2 x

y = 2x
y = 2x

y = -1/2 x
y = -1/2 x

y = 1/2 x + 2

Answer 1

To find the equation that matches the given table of values for mules (x) and bales of hay (y), we can first look at the pairs:

- 2 mules → 1 bale of hay
- 4 mules → 2 bales of hay
- 6 mules → 3 bales of hay
- 8 mules → 4 bales of hay
- 10 mules → 5 bales of hay

From these pairs, we can see that as the number of mules increases, the number of bales of hay also increases linearly. Specifically, for every 2 additional mules, there is one additional bale of hay.

We can express this relationship with the equation:

\[ y = \frac{1}{2}x \]

This means that for every 1 bale of hay, you have 2 mules, which matches the table provided.

So, the correct equation is:

\[ y = \frac{1}{2}x \]

This corresponds to the third response.