Calculation of values of P using P (t) = 145e-0.092t for 0

Calculationof values of P using P (t) = 145e-0.092tfor 0 &ltt &lt15

Att = 0, P = 145e-0.092(0)=145

t= 1, P = 145e-0.092(1)=132.25

t= 2, P = 145e-0.092(2)=120.63

t= 3, P = 145e-0.092(3)=110.03

t= 4, P = 145e-0.092(4)=100.36 ……….at t = 15, P = 145e-0.092(15)=36.48

Time (t)

P(t) = 145e-0.092t

0

145.00

1

132.26

2

120.63

3

110.03

4

100.36

5

91.54

6

83.49

7

76.15

8

69.46

9

63.35

10

57.79

11

52.71

12

48.07

13

43.85

14

39.99

15

36.48

Table1:Calculated Values of P from t

Graphof Purse rate Versus Time

Fromthe graph the time when purse rate is 70beats per minute isapproximately 7.9 or simply 8 minutes. This is done algebraicallybelow.

P(t) = 145e-0.092t

70= 145e-0.092t

70/145= e-0.092t

0.482758621= e-0.092t

ByDefinition of Logarithm -0.092t = ln (0.482758621)

-0.092t = – 0.7282385

Fromwhich t = 7.91563587 Minutes or simply 8 Minutes

Reference

Aufmann,R. N., Barker, V. C., &amp Nation, R. (2011). Collegealgebra.Belmont, Calif: Cengage Learning-Brooks/Cole.