SOLUTION: I have no idea where to start or what I am doing at all. The function P(t) = 145e-0.092t models a runner�s pulse, P(t), in beats per minute, t minutes after a race, where 0 &#

Question 1042241: I have no idea where to start or what I am doing at all.
The function P(t) = 145e-0.092t models a runner�s pulse, P(t), in beats per minute, t minutes after a race, where 0 ≤ t ≤15. Graph the function using a graphing utility. TRACE along the graph and determine after how many minutes the runner�s pulse will be 70 beats per minute. Round to the nearest tenth of a minute. Verify your observation algebraically.
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!

Here's the plot:

From the plot, I would guess that , after about
minutes after the race.
---------------------------
Solving for ,

Take the natural log of both sides

( rounded off )
------------------
check:

close enough
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