Answer:
Step-by-step explanation:
Since you are reflecting about the x axis you keep the x coordinate the same and multiply the y coordinate by -1 so you have point (8,-4)
Given:
The table of values of an exponential function.
To find:
The decay factor of the exponential function.
Solution:
The general form of an exponential function is:
...(i)
Where, a is the initial value and 
is the decay factor and 
is the growth factor.
The exponential function passes through the point (0,6). Substituting 
in (i), we get
The exponential function passes through the point (1,2). Substituting 
in (i), we get
Here, 
lies between 0 and 1. Therefore, the decay factor of the given exponential function is 
.
Hence, the correct option is A.
Answer:
Slope: -3
y intercept: -1
Step-by-step explanation: Remember form y=mx+b
Answer:
A) 3; B) 1116 m²; C) 24 m³; D) 1/27
Step-by-step explanation:
A) Scale factor
The scale factor is the ratio of the heights of the two pyramids.
h₂/h₁ = 24/8 = 3
B) Surface area
The ratio of the surface areas is the square of the scale factor.
A₂/A₁ = 3²
A₂/124 = 9
A₂ = 124 × 9 = 1116 m²
The volume of the larger pyramid is 1116 m².
C) Volume
The ratio of the volumes is the cube of the scale factor.
V₂/V₁ = 3³
648/V₁ = 27
648 = 27V₁
V₁ = 648/27 = 24 m³
The volume of the smaller pyramid is 24 m³.
D) Volume ratio
V₁/V₂ = 24/648 = 1/27
The volume ratio is 1/27.
