1. The growth rate equation has a general form of:
y = A (r)^t
The function is growth when r≥1, and it is a decay when
r<1. Therefore:
y=200(0.5)^2t -->
Decay
y=1/2(2.5)^t/6 -->
Growth
y=(0.65)^t/4 -->
Decay
2. We rewrite the given equation (1/3)^d−5 = 81
Take the log of both sides:
(d – 5) log(1/3) = log 81
d – 5 = log 81 / log(1/3)
d – 5 = - 4
Multiply both sides by negative 1:
- d + 5 = 4
So the answer is D
If they are three consecutive integers then they are:
k, k+1, and k+2 and the sum would then be:
s=k+k+1+k+2
s=3k+3
The slope of p is 3
the slope of q is -3
13.989 to the nearest tenth is 14.0
Hope this helps