Answer:
f(x) = 54(two-thirds) Superscript x minus 1
Step-by-step explanation:
Given that:
First peak : 36 / 54=2/3
Second peak : 24 / 36 = 2/3
The common ratio here is 2/3 ; which mean each bounce height is 2/3 of previous height
Modeling this using geometric progression :
An=a1r^(n-1)
An = nth term of a geometric progression
a1=first term
r=common ratio = 2/3
n = nth term
a1=54
Substituting into the above formular :
An=54(2/3)^(n-1)
Writing it as a decimal would be 3.85 you just divide it
Because it is normally set to only find real roots, not complex roots
if you are smart, you can use the factor function and use your head to find those roots
Since we know that the ratio of the model car to the real
car is 1:64, therefore we use this to solve this true length of the real NASCAR
vehicle, let us call this us X, so that:
1 : 64 = 3 inches : X
1 / 64 = 3 inches / X
X = 192 inches
<span>
The true length is 192 inches</span>
