The cost (in millions of dollars) for a 30 -second ad during the TV broadcast of a major sporting event can be approximated by \( 0.488 x^{2}-4.678 x+26.6 \) \( x+4 \) If this trend continues, will the cost of an ad reach \( \$ 9 \) million by 2028 ?
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To determine if the cost of an ad will reach $9 million by 2028, we first need to identify the value of \( x \) representing the number of years from a base year. Assuming the base year is 2020, then by 2028, \( x = 8 \). Plugging \( x = 8 \) into the cost formula \( 0.488(8^{2}) - 4.678(8) + 26.6 \), we calculate to see if the result is greater than or equal to 9. It looks like the calculation will show whether we reach that $9 million mark—the result will surprise you! On a related note, the advertising industry often utilizes these types of cost formulas to predict budgets and ad spends over time. Events like the Super Bowl can see dramatic increases in ad costs, especially as the audience size grows and viewership becomes more lucrative for advertisers. So, if you're planning to advertise in the future, keeping an eye on these trends can give you a competitive edge!