SOLUTION: 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 utili
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-> SOLUTION: 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 utili
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Question 890625: 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.
*Also I have no idea how to graph this on microsoft word could someone please help! Thanks! Answer by rothauserc(4718) (Show Source):
You can put this solution on YOUR website! P(t) = 145e-0.092t
70 = 145e-0.092t
70/145 = e-0.092t
0.482758621 = e-0.092t
use definition of logarithm
-0.092t = ln (0.482758621)
-0.092t = −0.7282385
t = 7.91563587
t = 7.9 minutes
use the free "graphing calculator" on the Internet or the free graphing program from MicroSoft called "Mathematics"
here is a graph
