Help please time limit...Amanda is choosing between two exercise routines.
In Routine #1, she does only running, 15.5 burning calories per minute.
In Routine #2, she burns 22 calories walking. She then runs at a rate that burns 12.75 calories per minute.
For what amounts of time spent running will Routine #1 burn more calories than Routine #2?
Use t for the number of minutes spent running, and solve your inequality for ..

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absor201 absor201 · Answer 1 · 2020-02-01T09:17:14+01:00

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

[tex]15.5t>12.75t+22\\15.5t-12.75t>22\\2.75t>22\\[/tex]

Dividing both sides by 2.75

[tex]\frac{2.75t}{2.75}>\frac{22}{2.75}\\t>8[/tex]

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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