the regression equation (y = 3.648(1.182)^{x}) approximates the cost to go on a safari, (y), given the…

the regression equation (y = 3.648(1.182)^{x}) approximates the cost to go on a safari, (y), given the number of years since it opened in 2005, (x). which amount is the best estimate for the cost of a vehicle to drive through the safari in 2009? $7.12 $8.38 $16.43 $17.25

the regression equation (y = 3.648(1.182)^{x}) approximates the cost to go on a safari, (y), given the number of years since it opened in 2005, (x). which amount is the best estimate for the cost of a vehicle to drive through the safari in 2009? $7.12 $8.38 $16.43 $17.25

Answer

Explanation:

Step1: Calculate the value of x

The safari opened in 2005 and we want to find the cost in 2009. So $x = 2009 - 2005=4$.

Step2: Substitute x into the regression - equation

Substitute $x = 4$ into $y = 3.648(1.182)^{x}$. Then $y=3.648\times(1.182)^{4}$. First, calculate $(1.182)^{4}=1.182\times1.182\times1.182\times1.182\approx1.91$. Then $y = 3.648\times1.91\approx7.12$.

Answer:

$7.12$ (corresponding to the first option)