Using the following table of a function that models exponential decay determine which one of the following models the amount of radioactive substance as a function of time.

Question

Quizplus · Accepted Answer

The table shows exponential decay, with the values approximately halving each time the time interval increases by a constant amount. This behavior is modeled by the equation y = a(0.5)^x, where a is the initial amount and x is the time elapsed. Option C matches this form, with an initial value of 256 and a base of 0.5. The other options have different forms of exponential growth or decay, or do not match the pattern in the table.

Using the Following Table of a Function That Models Exponential