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The Interest Rates That Banks Charge to Borrow Money Fluctuate tt

Question 49

Multiple Choice

The interest rates that banks charge to borrow money fluctuate with the economy. The interest rate charged by a bank in a certain country is given in the table below. Let tt represent the year, with t=0t = 0 corresponding to 1986 . Use the regression feature of a graphing utility to find a quadratic model of the form
 Year  Percent ty198612.1198810.119906.819926.619948.6199612.0\begin{array}{|c|c|}\hline \text { Year } & \text { Percent } \\\boldsymbol{t} & \boldsymbol{y} \\\hline 1986 & 12.1 \\\hline 1988 & 10.1 \\\hline 1990 & 6.8 \\\hline 1992 & 6.6 \\\hline 1994 & 8.6 \\\hline 1996 & 12.0 \\\hline\end{array}


A) y=2.23t2+12.61t+0.22y = - 2.23 t ^ { 2 } + 12.61 t + 0.22
B) y=12.61t2+0.22t2.23y = 12.61 t ^ { 2 } + 0.22 t - 2.23
C) y=0.22t22.23t+12.61y = 0.22 t ^ { 2 } - 2.23 t + 12.61
D) y=0.17t22.69t+10.59y = 0.17 t ^ { 2 } - 2.69 t + 10.59
E) y=0.26t21.8t+14.37y = 0.26 t ^ { 2 } - 1.8 t + 14.37

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