Question

the fox valley middle schools colors are purple and white. heather enjoys making flags for her classmates to wave at school sporting events. she makes 7 purple flags for every 2 white flags.
complete the table.
purple flags 7 \boxed{} \boxed{} 35
white flags 2 4 6 \boxed{}
graph the data from the table.
graph with white flags on y - axis (1 - 10) and purple flags on x - axis (7,14,21,28,35,42,49,56,63,70)

Explanation:

Step1: Identify ratio

The ratio of purple:white flags is $7:2$, so purple = $\frac{7}{2} \times$ white, white = $\frac{2}{7} \times$ purple.

Step2: Find purple for 4 white

Calculate purple flags when white=4:
$\text{Purple} = \frac{7}{2} \times 4 = 14$

Step3: Find purple for 6 white

Calculate purple flags when white=6:
$\text{Purple} = \frac{7}{2} \times 6 = 21$

Step4: Find white for 35 purple

Calculate white flags when purple=35:
$\text{White} = \frac{2}{7} \times 35 = 10$

Step5: Prepare graph points

The coordinate pairs (purple, white) are: $(7,2)$, $(14,4)$, $(21,6)$, $(35,10)$. Plot these on the grid, then draw a straight line through them extending to the axes.

Answer:

Completed Table:

Purple flags	7	14	21	35

Graph Instructions:

Plot the points $(7,2)$, $(14,4)$, $(21,6)$, and $(35,10)$ on the provided grid, then draw a straight line connecting these points (extending the line to align with the ratio trend).