SOLUTION: Determine whether the equation represents exponential growth, exponential decay, or neither. Explain. y = 11,761(0.91)t Exponential growth; because the base that is the rate of p

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Determine whether the equation represents exponential growth, exponential decay, or neither. Explain. y = 11,761(0.91)t Exponential growth; because the base that is the rate of p      Log On


   

Question 1153447: Determine whether the equation represents exponential growth, exponential decay, or neither. Explain.
y = 11,761(0.91)t
Exponential growth; because the base that is the rate of proportion is greater than 1.
Exponential growth; because the base that is the rate of proportion is less than 1.
Exponential decay; because the base that is the rate of proportion is greater than 1.
Exponential decay; because the base that is the rate of proportion is less than 1.
Neither; because the equation is not an exponential function
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

recall:
In exponential growth functions, the base of the exponent must be greater than 1.
If the base of the exponent were 1, the function would remain constant. The graph would be a horizontal line.
If the base+of the exponent were less than 1, but greater than 0, the function would be decreasing.

Exponential Decay Formula
y+=+11761%280.91%29%5Et
in your case the base+of the exponent is 0.91 which is less than 1,but greater than 0, the function would be decreasing+; so, you have exponential+decay

answer: Exponential decay; because the base that is the rate of proportion is less than 1.