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Sandra Runs at a rate of 8 miles in 45 minutes. how does her unit rate compare to Terrance and Jessie (Terrance 6 miles per half an hour jesse 2 miles every 15 minutes)

Verified Answer :

Sandra bikes 1 mile in 5.6 Minutes
Terrance bikes 1mile in 5 minutes
Jesses bikes 1 mile in 15 minutes

Sandra to Terrance - .6 minutes
Sandra to jesse - 9.4 minutes
Terrance to Jesse - 10 minutes

Answer:

Her unit rate is less than that of Terrance but more than that of Jesse.

Step-by-step explanation:

Since,

\(\text{Rate of travelling}=\frac{\text{ Distance}}{\text{Time}}\)

For sandra,

Distance = 8 miles, time = 45 minutes = \(\frac{45}{60}\) = 0.75 hours,

( ∵ 1 hour = 60 minutes )

Thus, the unit rate of Sandra = \(\frac{8}{0.75}\approx 10.67\text{ miles per hour}\)

For Terrance,

Distance = 6 miles, time = \(\frac{1}{2}\) hour = 0.5 hour,

Thus, the unit rate of Terrance = \(\frac{6}{0.5}\approx 12\text{ miles per hour}\)

For Jesse,

Distance = 2 miles, time = 15 minutes = \(\frac{15}{60}\) hour = 0.25 hour,

Thus, the unit rate of Jesse = \(\frac{2}{0.25}\approx 8\text{ miles per hour}\)

Hence, Sandra's unit rate is less than that of Terrance but more than that of Jesse.