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 2005, x. which is the best estimate for the cost of a vehicle to drive through the safari in 2013? a. $7.46 b. $12.44 c. $13.90 d. $34.50

Option C. $13.90

Solution:

Approximate cost to go on a safari ($): y

Number of years since it opened in 2005: x

y=3.648*1.182^x

Cost in year 2013: y=?

Year 2013→x=2013-2005→x=8

y=3.648*1.182^8

y=3.648*3.810130162

y=13.89935483

y=13.90

The best estimate for the cost of a vehicle to drive through the safari in 2013 is $13.90

center (1,3) with radius 6

step-by-step explanation:

we must complete the square to find the center and radius of the circle.

first make sure the x and y squared terms have 1 as their coefficients. we also make sure x and y terms together.

we now create space between the x and y terms with parenthesis.

we complete the square by taking the middle terms -2x and the -6y - divide each and square them.

we add the squares to both sides.

simplify.

and write the quadratics in factored form.

the center is (h,k) or (1,3). the radius is the square root of 36 which is 6.