Caroline resting heart is 52 beats per minute (bpm). When she starts running her heart rate increases 1.25% each second until it reaches maximum heart rate of 175 bpm. Find her approximate heart rare after 30 seconds

Respuesta :

Answer:74.55 beat per minute

Step-by-step explanation:

Given

Heart beat is 52 beat per minute

i.e. [tex]B=\frac{52}{60}[/tex] beat per sec

If heart rate is increases 1.25 % each sec

suppose B is the heart beat at first second therefore heat beat at 2 nd second

[tex]B_2=B+1.25 \% B[/tex]

[tex]B_2=B(1+1.25 \% )[/tex]

For 3 rd sec

[tex]B_3=B(1+1.25\%)+1.25\%B(1+1.25\%)[/tex]

[tex]B_3=B(1+1.25\%)^2[/tex]

similarly for 3 sec

[tex]B_{30}=B(1+1.25\%)^{29}[/tex]

[tex]B_{30}=1.433B[/tex]

[tex]B_{30}=1.242\ \text{beat per second }[/tex]

[tex]B_{30}=74.55\ \text{beat per minute}[/tex]

Answer:

75.48389

Step-by-step explanation:

How do u guys not know this?!

52(1.0125)^30