Wesley wants to plant three more tomato plants than squash plants in his garden. Which of the following shows how the number of tomato plants, y, changes as the number of squash plants, x, changes?

Question

A graph titled Wesley's garden compares number of tomato plants versus number of squash plants. A straight line extends between (0, 0) and (10, 3.2). The values are approximate.
W. A graph titled Wesley's garden compares number of tomato plants versus number of squash plants. A straight line extends between (0, 3) and (7, 10). The values are approximate.
X.
A graph titled Wesley's garden compares number of tomato plants versus number of squash plants. A straight line extends between (0, 0) and (3.1, 10.1). The values are approximate.
Y. A graph titled Wesley's garden compares number of tomato plants versus number of squash plants. A straight line extends between (3, 0) and (10, 7). The values are approximate.
Z.
A.
X
B.
W
C.
Y
D.
Z

Answer 1

To find the relationship between the number of tomato plants \( y \) and the number of squash plants \( x \), we can use the information given: Wesley wants to plant three more tomato plants than squash plants. Therefore, we can express this relationship with the equation:

\[ y = x + 3 \]

This indicates that for every squash plant \( x \), the number of tomato plants \( y \) is three more than \( x \).

Now let's analyze the options:

• Option W: A straight line from (0, 3) to (7, 10).

  • Here, when \( x = 0 \), \( y = 3 \), which is consistent with \( y = x + 3 \).
  • When \( x = 7 \), \( y = 10 \), which is also consistent with \( y = 7 + 3 = 10 \).

• Option X: A straight line from (0, 0) to (3.1, 10.1).

  • This does not fit the equation \( y = x + 3 \).

• Option Y: A straight line from (3, 0) to (10, 7).

  • This also does not fit \( y = x + 3 \).

• Option Z: There's no description for option Z provided in your message.

Among the options provided, only Option W fits the relationship \( y = x + 3 \). Thus, the correct answer is:

B. W