The equation that models the relationship between the predicted value, y, of the technology and time t, in number of years, since it was purchased is; y = 100(0.5)^(4t)
We are given the exponential growth function as;
y = 100(0.5)^(x/13)
where;
y is the predicted value of a certain piece of technology in dollars.
x is the time, x in weeks since it was purchased.
Now, we are told that there are 52 weeks in a year and if t years have passed, then it means that time in weeks that have passed will be 52t weeks. Thus, our equation is now;
y = 100(0.5)^(52t/13)
y = 100(0.5)^(4t)
Read more about Exponential Growth Function at; https://brainly.com/question/27161222
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