The inaugural attendance of an annual music festival is 150,000 people. The attendance, y has been increasing by ng by 8% each year. 8% Write an exponentia growth function that represents the attendance after t years. y=a(1+r)^t square Simplify! y=a(b)^t square

To write an exponential growth function that represents the attendance after \( t \) years, we start with the general form of the exponential growth function:<br /><br />\[ y = a(1 + r)^t \]<br /><br />Here:<br />- \( y \) is the attendance after \( t \) years.<br />- \( a \) is the initial attendance, which is 150,000.<br />- \( r \) is the growth rate, which is 8% or 0.08.<br /><br />So, substituting the given values into the formula, we get:<br /><br />\[ y = 150,000(1 + 0.08)^t \]<br /><br />Next, we simplify the expression inside the parentheses:<br /><br />\[ 1 + 0.08 = 1.08 \]<br /><br />Thus, the simplified exponential growth function is:<br /><br />\[ y = 150,000(1.08)^t \]<br /><br />So, the final simplified exponential growth function representing the attendance after \( t \) years is:<br /><br />\[ y = 150,000(1.08)^t \]