We are given P(x)=a(b)^x and two values:
- At x=0: P(0)=a(b)^0=a=14.7, so a=14.7.
- At x=1: P(1)=14.7·b=12.054, so b=12.054/14.7 = 0.82.
Therefore the model is:
P(x)=14.7(0.82)^x
(You can check: P(1)=14.7·0.82=12.054.)
Step-by-step solution to find the exponential model for atmospheric pressure: determine a and b from P(0)=14.7 and P(1)=12.054 and write P(x)=14.7(0.82)^x.
We are given P(x)=a(b)^x and two values:
Therefore the model is:
P(x)=14.7(0.82)^x
(You can check: P(1)=14.7·0.82=12.054.)
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