Amanda must spend more than 8 minutes on Routine #1 to burn more calories than Routine #2.
Step-by-step explanation:
Routine # 1;
Calories burned in running = 15.5 per minute
Let,
t be the minutes spent running.
T = total calories burned
T = 15.5t
Routine # 2;
Calories burned while walking = 22 calories
Calories burned while running = 12.75 per minute
T = 12.75t + 22
For burning more calories in Routine 1;
Routine 1 > Routine 2
![15.5t>12.75t+22\\15.5t-12.75t>22\\2.75t>22\\](https://tex.z-dn.net/?f=15.5t%3E12.75t%2B22%5C%5C15.5t-12.75t%3E22%5C%5C2.75t%3E22%5C%5C)
Dividing both sides by 2.75
![\frac{2.75t}{2.75}>\frac{22}{2.75}\\t>8](https://tex.z-dn.net/?f=%5Cfrac%7B2.75t%7D%7B2.75%7D%3E%5Cfrac%7B22%7D%7B2.75%7D%5C%5Ct%3E8)
Amanda must spend more than 8 minutes on Routine #1 to burn more calories than Routine #2.
Keywords: linear inequality, division
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