Question

The regression equation y = 3.648 × 1.182x approximates the cost to go on a safari, y, given the number of years since it opened in 2003, x.

Which is the best estimate for the cost of a vehicle to drive through the safari in 2008?

A. $34. 49
B. $13. 90
C. $8.42
D. $21.56

Answer 1

The given equation is as following:

`y = 3.648*1.182^x`

x ⇒ The number of years since it opened in 2003.

To find the cost of a vehicle to drive through the safari in 2008

∴ x = 2008 - 2003 = 5

∴
`y = 3.648*1.182^5=3.648*2.3072=8.4167`

∴ The best estimate for the cost of a vehicle to drive through the safari in 2008 ≈ $8.42

So, the solution is option C. $8.42