Exponential Population Growth Equation w/ 2 Points. f(x)=ab^x. 'Exponential Regression'

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This is an example problem using the population of China in 1980 and 2016 to create an exponential function of the form P(t) = ab^t and then use that function to predict the population in 2030.

Notes:
t = the number of years since 1980
P(t) = the population of China in millions

If you have a ti-84 you can determine the values of "a" and "b" in the P(t) = ab^t by inputting the points (0,981) and (36, 1380) into L1 and L2 ("stat" , edit) and then ("stat" , calc , 0:ExpReg ).
  1. Sulock Math
  2. algebra
  3. exponential growth
  4. exponential regression
  5. exponential model
  6. f(t) = ab^t
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This is an example problem using the population of China in 1980 and 2016 to create an exponential function of the form P(t) = ab^t and then use that function to predict the population in 2030.

Notes:
t = the number of years since 1980
P(t) = the population of China in millions

If you have a ti-84 you can determine the values of "a" and "b" in the P(t) = ab^t by inputting the points (0, 981) and (36, 1380) into L1 and L2 ("stat", edit) and then ("stat", calc, 0:ExpReg ).

SulockMath