State whether the equation represents exponential, growth, exponential decay, or neither
Y=10x0.85^x
The equation Y=10x0.85^x represents exponential decay.
The equation Y=10x0.85^x represents exponential decay.
To determine whether the equation represents exponential growth, exponential decay, or neither, we need to analyze the exponent and the base of the equation.
In this equation, Y = 10x0.85^x, we have a base of 0.85 raised to the power of x.
If the base is greater than 1, it represents exponential growth. If the base is between 0 and 1, it represents exponential decay. If the base is neither greater than 1 nor between 0 and 1, then it represents neither exponential growth nor exponential decay.
In this case, the base of 0.85 is less than 1, so the equation represents exponential decay.