The value of a certain car, in dollars, x years from its model year can be predicted by the function f(x)=12,000(0.89)x . The va
lue of a certain SUV, in dollars, x years from its model year can be predicted by the exponential function shown in the table. How much more will the SUV be worth than the car 5 years after their model years?
Enter your answer, rounded to the nearest cent, in the box
f=ir^t, f=final amount, i=initial amount, r=common ratio, t=number of times ratio is applied...We can see the initial value is 17000 so all we really have to find is the common ratio, or "rate" as some call it :P If we look at the second point, when t=1 we can see:
14280=17000r
r=357/425
r=0.84
So in five years the SUV will be worth more than the car by:
draw a perpendicular line from the directrix passing through the focus, this will be the line of symmetry.
The vertex(h, k) will be located on the line half way between the focus and directrix.
The distance from the focus to the vertex is called the focal length, call it a. The then equation is
(x - h)^2 = 4a(y - k)
the equation can be manipulated to
y = 1/4a(x - h)^2 + k
hope it helps
