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
Answer:
624
Step-by-step explanation:
the area of the triangles:
12*10 = 120
120/2 = 60
since there are 2 triangles of the same dimensions that make up the surface area 60 + 60 = 120
area of the rectangles:
13*14 = 182
since there are 2 rectangles of the same dimensions 182 + 182 = 364
The last rectangular:
10*14 = 140
add all areas:
120 + 364 + 140 = 624
$27
2.65 x 2 (since he has to go both to and from work each day) = $5.30
Add the daily cost of the water bottle (1.45) to make his total cost for one day, which is 6.75
Multiply this number by 4 (because he goes 4 days a week) to get $27 for one week.
Answer:
b
Step-by-step explanation:
In y=mx+b form, the b is the y-intercept, therefore where the line crosses the y-axis on the graph. In this graph, the line crosses the y-axis at 100. This means that the "b" value is 100. So far, our equation is y=mx+100.
Next, to find m, you go to any other point on the graph and see how much units (rise over run) you went to get there. I picked the point (2,150), You can see that it took me 1 unit up and 2 units to the right to get to that point, leading us to believe the slope is 1/2.
Finally, put everything together and you get the answer of y=1/2x+100 (the letters do not matter) :)
