Question

at meadow valley tree farm, the farmers plant 4 maple trees for every 3 pine trees. complete the table. maple trees: 4, 8, 12, 16; pine trees: 3, blank, blank, blank. graph the data from the table. (graph with y-axis labeled pine trees from 3 to 30 and x-axis labeled maple trees from 2 to 20)

Explanation:

Step1: Identify ratio of trees

The ratio of maple to pine trees is $\frac{\text{Maple}}{\text{Pine}} = \frac{4}{3}$, so $\text{Pine} = \frac{3}{4} \times \text{Maple}$.

Step2: Calculate pine for 8 maple

Substitute maple = 8:
$\text{Pine} = \frac{3}{4} \times 8 = 6$

Step3: Calculate pine for 12 maple

Substitute maple = 12:
$\text{Pine} = \frac{3}{4} \times 12 = 9$

Step4: Calculate pine for 16 maple

Substitute maple = 16:
$\text{Pine} = \frac{3}{4} \times 16 = 12$

Step5: Identify graph points

Each point is (Maple trees, Pine trees): $(4,3), (8,6), (12,9), (16,12)$

Answer:

Completed table:

Maple trees	4	8	12	16

Graph instructions: Plot the points $(4,3)$, $(8,6)$, $(12,9)$, and $(16,12)$ on the provided coordinate grid, then draw a straight line through them to represent the proportional relationship.