MATH SOLVE

4 months ago

Q:
# ying is a professional deep water free diver. his altitude (in meters relative to a sea level) x seconds after diving is modeled by D(x)=1/36(x-60)^2-100What is the lowest altitude Ying will reach

Accepted Solution

A:

Answer:100 feet below sea levelStep-by-step explanation:Our function is[tex]D(x)=\frac{1}{36}(x-60)^2-100[/tex]This is written in vertex form,f(x) = a(x-h)Β²+k, where (h, k) is the vertex of the function.The vertex of a function is either the maximum or the minimum value of a quadratic function.For our function, the value in place of h is 60 and the value in place of k is -100; this makes the vertex (60, -100).This means at 60 seconds, the diver will reach a minimum of -100 feet, or 100 feet below sea level.