Question

4. T(q) represents the total number of Android smart phone contracts, in thousands, held by a certain Verizon store region measured quarterly since January 1, 2010, Interpret all of the parts of the equation T(2) = 86(1.64)2 = 231.3056

Answer 1

As we know that it is an exponential function that is considered as exponential growth or decay function as well. It means this exponential function grows and shrinks at a constant rate and it can be written as :

Here,

a represents the initial or starting value of the function,

r represents percent growth or decay rate, commonly written in decimal

b represents is the growth factor or growth multiplier.

Now, as per the given equation in question:

T(2) = 86(1.64)2 = 231.3056

So, it indicates T(q) =  total number of Android smart phone contracts (in thousands)

a = 86 means initial value indicates that initially in 1st quarter starting from January 1, 2010, Verizon store region had 86,000 Android smartphone contracts.

b = 1.64 which means ( 1.64 - 1 = .64) .64 or 64% is growth rate of Android smart phone contracts in a quarter and

T(2) means that in quarter 2, Android smart phone contracts were 231,305 (approx).