Step 1 :This is a problem of exponential growth. The general formula for exponential growth is \(T = P(1 + r)^x\), where \(T\) is the total amount after \(x\) days, \(P\) is the initial amount, \(r\) is the growth rate, and \(x\) is the number of days.
Step 2 :In this case, \(P = 292\), \(r = 5.4\% = 0.054\), and \(x\) is the number of days from now.
Step 3 :We can substitute these values into the formula to get the equation that represents the total number of people who will be infected with the disease \(x\) days from now.
Step 4 :\(T = 292(1.054)^x\)
Step 5 :Final Answer: The equation that represents the total number of people who will be infected with the disease \(x\) days from now is \(\boxed{T = 292(1.054)^x}\).