Question

1. on a field day at their school, the friends decide to run as a team in a much shorter race, the 1-mile relay. this race requires 4 runners to each run $\frac{1}{4}$ mile, so they ask their friend toni to join them. this race is considered a sprint, so they must each run their part at a much faster rate than they would run in a long-distance race. the team completes the race in 4:34. complete the table. was it a good choice to ask toni to join the team? explain.

one-mile relay splits

runner	rate (min:sec per mi)	time for $\frac{1}{4}$ mile (min:sec)
hazel	4:48
mekena	4:32
toni

Explanation:

Step1: Convert pace to total seconds

Julia: $4 \times 60 + 40 = 280$ sec/mi
Hazel: $4 \times 60 + 48 = 288$ sec/mi
Mekena: $4 \times 60 + 32 = 272$ sec/mi

Step2: Calculate 1/4 mile time

Julia: $\frac{280}{4} = 70$ sec = $1:10$
Hazel: $\frac{288}{4} = 72$ sec = $1:12$
Mekena: $\frac{272}{4} = 68$ sec = $1:08$

Step3: Total team time to seconds

$4 \times 60 + 34 = 274$ sec

Step4: Find Toni's total time

Toni's time: $274 - (70 + 72 + 68) = 274 - 210 = 64$ sec = $1:04$

Step5: Find Toni's pace

Toni's pace: $64 \times 4 = 256$ sec = $4:16$ per mi

Answer:

Completed One-Mile Relay Splits Table:

Runner	Rate (min:sec per mi)	Time for $\frac{1}{4}$ Mile (min:sec)
Hazel	4:48	1:12
Mekena	4:32	1:08
Toni	4:16	1:04

Yes, it was a good choice to ask Toni to join. Toni has the fastest 1/4-mile split and the fastest overall pace among the team members, which helped the team complete the race efficiently.