SOLUTION: Find the value of the growth factor b, in the exponential function, f(t)=ab^t , that would satisfy the given pair of points. Round to three decimal places. (11, 78) (19, 114)

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Find the value of the growth factor b, in the exponential function, f(t)=ab^t , that would satisfy the given pair of points. Round to three decimal places. (11, 78) (19, 114)      Log On


   

Question 978784: Find the value of the growth factor b, in the exponential function, f(t)=ab^t , that would satisfy the given pair of points. Round to three decimal places.
(11, 78) (19, 114)
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
log%2810%2Cy%29=log%2810%2Cab%5Et%29
log%2810%2Cy%29=log%2810%2Ca%29%2Blog%2810%2Cb%5Et%29
log%2810%2Cy%29=log%2810%2Ca%29%2Bt%2Alog%2810%2Cb%29
highlight_green%28log%2810%2Cy%29=t%2Alog%2810%2Cb%29%2Blog%2810%2Ca%29%29

Use your understanding of linear equations to find the slope, log%2810%2Cb%29 and y-intercept, log%2810%2Ca%29. Your given data points will need to be used as (11, log(10,78)) and (19, log(10,114)).




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log(10,B) in pure text form means the same as log%2810%2CB%29 for this webpage system.