Answer:
<h2>A.</h2>
Step-by-step explanation:
The given table is
Days Bees
0 10,000
10 7,500
20 5,600
30 4,200
40 3,200
50 2,400
Where
represents days and
represents bees.
The exponential function that models this problem must be like
, which represenst an exponential decary, because in this case, the number of bees decays.
We nned to use one points, to find the rate of decay. We know that
, because it starts with 10,000 bees.
Let's use the points (10, 7500)

Solving for
, we have

Using logarithms, we have

Replacing all values in the model, we have

Therefore, the right answer is the first choice, that's the best approximation to this situation.
Answer:
<em>y = -3x+4</em>
<em />
Step-by-step explanation:
Slope intercept form of a line is given by y = mx + b
Where
m is the slope
b is the y intercept.
To find m, we need to take any arbitrary 2 points and see how many units up/down and how many units right/left we need to go from one to another. <em>Basically change in y by change in x.</em>
<em />
Let's take 2 arbitrary points: (0,4) & (2,-2)
So we need to go -6 units from y = 4 to y = -2. We need to go 2 units from x = 0 to x = 2.
Hence slope is change in y by change in x, which is -6/2 = -3
b is the y-interceept, the place where it cuts the y axis. Looking at the graph, it is at y = 4
<em>Now we can write the equation as :</em>
<em>y = -3x+4</em>
2(7b + 5) will equal to 14b+10
Explanation:
2 times 7b= 14b
2 times 5= 10
$112
1-1/5=4/5
4/5 x 140 =112
hope this helps :)
Answer:

Step-by-step explanation:
A rectangular prism is a polyhedron with six rectangular faces. The volume of a prism is given by:
Volume = width * height * length
From the diagram, the rectangular prism is made up of cubes. Each cube is has a size of 1/3 ft by 1/3 ft.
The height of the prism is made up of 5 cubes. Height = 5 * 1/3 = 5/3 ft.
The length of the prism is made up of 3 cubes. length = 3 * 1/3 = 1 ft.
The width of the prism is made up of 2 cubes. Width = 2 * 1/3 = 2/3 ft.
The volume of the prism = width * height * length = 2/3 * 5/3 * 1 = 10/9 ft³ = 