Question

The expression 900 * 2.25ᵗ gives the price performance, in bits per second per dollar, of wireless devices from a certain company as a function of years since the company began. what does 900 represent in this expression?

A) The initial price of the wireless devices
B) The growth factor of the price performance
C) The time in years since the company began
D) The constant bits per second per dollar

Answer 1

The number 900 in the expression 900 * 2.25ᵗ represents the initial price performance of wireless devices in bits per second per dollar, which is scaled by the growth factor 2.25 raised to the power of 't', where 't' is time in years.

Step-by-step explanation:

In the expression 900 * 2.25ᵗ, the number 900 represents the initial price performance of wireless devices in bits per second per dollar, as a function of years since the company began. This value is the starting point of the measurement of efficiency and it is used to determine how much price performance has changed over time as the result of the growth factor, which in this case is represented by 2.25ᵗ.

The expression is an example of exponential growth, where the initial quantity is scaled by a factor raised to the power of time. This model is commonly used to represent technological improvements or inflation over time. The factor 2.25 is indicative of the ratio of growth per year, and 't' represents the time in years.