Question

Question: the registration equation Y=.3648x + 11.82 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 2019?

Answer 1

The registration equation :

y = 0.3648x + 11.82

where, y = cost to go on safari

x = number of years since it opened in 2005

For the amount which is best estimating for the cost of a vehicle to drive through safari in 2019,

Since, the it is opened in 2005, so the number of years from 2019 to 2005 is

2019 - 2005 = 14 years

so, x= 14

For the amount to cost of a vehicle to drive through safari in 2019, is the value of y at x = 14

$\begin{gathered} y\text{ = 0.3648x +11.82} \\ y=\text{ 0.3648(14) + 11.82} \\ y=\text{ 16.9272} \\ y=16.93 \end{gathered}$

The cost of vechile is $16.93

Answer : B) $16.93