Question

Hans is planting a garden with snapdragons and daisies. The table shows some possible combinations of the two plants. If Hans plants 29 daisies, how many snapdragons will he plant? Number of Snapdragons, x Number of Daisies, y 11 34 12 33 13 32 14 31 (2 points) The equation that models the scenario is . Hans will plant Snapdragons.

Answer 1

To find how many snapdragons Hans will plant if he plants 29 daisies, we first need to identify the pattern in the data provided in the table:

- When there are 11 snapdragons, there are 34 daisies.
- When there are 12 snapdragons, there are 33 daisies.
- When there are 13 snapdragons, there are 32 daisies.
- When there are 14 snapdragons, there are 31 daisies.

From this, we can observe that for each additional snapdragon planted, the number of daisies decreases by 1. This suggests a linear relationship between the number of snapdragons \( x \) and the number of daisies \( y \).

We can express this relationship in equation form:

\[
y = 35 - x
\]

Now we can use this equation to find out how many snapdragons Hans will plant when he has 29 daisies (so \( y = 29 \)).

Substituting \( y = 29 \) into the equation:

\[
29 = 35 - x
\]

Now, solve for \( x \):

\[
x = 35 - 29
\]
\[
x = 6
\]

Thus, Hans will plant **6 snapdragons**.