The table below shows the cost $C$ (in millions of dollars) of a 30-second ad during the Super Bowl for several years from 1987 to 2006. $$\begin{array} { | c | c | }
\hline \text { Year } & \text { Cost } \
\hline 1987 & 0.6 \
\hline 1992 & 0.9 \
\hline 1997 & 1.2 \
\hline 2002 & 2.2 \
\hline 2006 & 2.5 \
\hline
\end{array}$$ Use the regression feature of a graphing utility to find an exponential model for the data. Predict the cost of a 30-second ad during the Super Bowl in 2011. Round to the nearest ten thousand.
A)$3.96 million
B)$3.67 million
C)$2.90 million
D)$5.42 million
E)$6.34 million

Question

The table below shows the cost $C$ (in millions of dollars) of a 30-second ad during the Super Bowl for several years from 1987 to 2006. $$\begin{array} { | c | c | } 
\hline \text { Year } & \text { Cost } \
\hline 1987 & 0.6 \
\hline 1992 & 0.9 \
\hline 1997 & 1.2 \
\hline 2002 & 2.2 \
\hline 2006 & 2.5 \
\hline
\end{array}$$ Use the regression feature of a graphing utility to find an exponential model for the data. Predict the cost of a 30-second ad during the Super Bowl in 2011. Round to the nearest ten thousand.
A)$3.96 million
B)$3.67 million
C)$2.90 million
D)$5.42 million
E)$6.34 million

Quizplus · Accepted Answer

The exponential model that fits the given data points would likely show an increasing trend, reflecting the growth in the cost of a 30-second ad during the Super Bowl over the years. By using a graphing utility to perform exponential regression on the provided data, the model can predict future costs. The prediction for 2011, when rounded to the nearest ten thousand, is approximately $3.96 million. This is based on the pattern of growth observed in the data from 1987 to 2006.

The Table Below Shows the Cost CCC (In Millions of Dollars) of a 30-Second Ad During the Dollars)

The Table Below Shows the Cost $C$ (In Millions of Dollars) of a 30-Second Ad During the Dollars)