SOLUTION: Need assistance with this, i cant figure it out. It's driving me mad. Thank you. Lena is choosing between two exercise routines. In routine #1, she burns 25 calories walking.

Question 529309: Need assistance with this, i cant figure it out. It's driving me mad. Thank you.
Lena is choosing between two exercise routines.
In routine #1, she burns 25 calories walking. She then runs at a rate that burns 18 calories per minute.
In routine #2, she burns 49 calories walking. She then runs at a rate that burns 14 calories per�
minute.
For what amount of time spent running will routine #1 burn fewer calories than routine#2? Use t for the number of minutes spent running, and solve your inequality for t.
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = minutes spent running
given:
Routine #1
Calories burnt =
Routine #2
Calories burnt =
------------------------
Let calories burnt =
The question is:
for what values of is

Subtract from both sides

or, what is the same,

So, for all values of minutes spent running,
The calories burnt using routine #1 are less than
the calories burnt using #2
Here's a plot of routine #1 and #2:

The bottom line is routine #1. You can see that when
as it should, and they meet at
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