the regression equation ( y = 3.648cdot1.182^{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 $16.43 $8.38 $17.25

Question

Accepted Answer

# Explanation:
## Step1: Calculate the value of $x$
The safari opened in 2005. For the year 2009, $x = 2009 - 2005=4$

## Step2: Substitute $x = 4$ into the regression equation
We have the equation $y = 3.648\times1.182^{x}$. Substitute $x = 4$ into it:
$$
\begin{align*}
y&=3.648\times1.182^{4}\
&=3.648\times(1.182\times1.182\times1.182\times1.182)\
&=3.648\times1.182^{2}\times1.182^{2}\
&=3.648\times1.397124\times1.397124\
&\approx3.648\times1.952\
&\approx7.12
\end{align*}
$$

# Answer:
$\$7.12$

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Step1: Calculate the value of \(x\)

Step2: Substitute \(x = 4\) into the regression equation

Answer: