Question

shawn and his little brother practice soccer every night after school. they take turns guarding the goal. shawns brother doesnt like to guard, so shawn spends 10 minutes guarding the goal for every 5 minutes his little brother guards the goal. complete the table. minutes shawn guards: 10, blank, blank, 50; minutes brother guards: 5, 15, 20, blank. graph the data from the table.

Explanation:

Step1: Find the ratio

The ratio of Shawn's guarding time to his brother's is $\frac{10}{5}=2$. So Shawn's time = $2 \times$ brother's time, and brother's time = $\frac{\text{Shawn's time}}{2}$.

Step2: Calculate missing Shawn time (15 min brother)

Shawn's time = $2 \times 15 = 30$ minutes

Step3: Calculate missing Shawn time (20 min brother)

Shawn's time = $2 \times 20 = 40$ minutes

Step4: Calculate missing brother time (50 min Shawn)

Brother's time = $\frac{50}{2}=25$ minutes

Step5: Prepare graph points

The data points to plot are:
(10, 5), (30, 15), (40, 20), (50, 25)
Plot each point on the grid where the x-axis is "Minutes Shawn guards" and y-axis is "Minutes brother guards", then draw a straight line through the points.

Answer:

Completed Table:

Minutes Shawn guards	10	30	40	50

Graph Instructions:

Plot the points (10, 5), (30, 15), (40, 20), (50, 25) on the provided grid, then draw a straight line passing through all four points to represent the proportional relationship.