Answer:
Yes, the given table represent an exponential function.
Step-by-step explanation:
Given table is :
x y
1 4
2 16
3 64
4 256
Now we need to identify if the given table represent an exponential function or not. To find that we need to check if we can write the numbers in y-column in form of exponential function
.
We see that y-values are basically powers of 4 so we can write the related function as
.
Which is clearly in form of
.
Hence yes, the given table represent an exponential function.
The equation for the direct variation is y= kx (where k is contant of variation.)
This equation represent that if x will increase then y will also increase because it's k times x.
Where the equation for indirect variation is 
By this equation if x will increase then y will decrease and vice versa.
The given data is :
x: 2 4 8 12
y: 4 2 1 2/3
Notice as x is increasing then y is decreasing. Like x has increased from 2 to 4 then y is decresing from 4 to 2 and so on.
So, the given data represent an indirect variation.
Answer:
Total area to be painted in gold = 24000 cm²
Step-by-step explanation:
Total height of the stairs = 120 cm
Total standing stairs = 4
Therefore, height or width of one standing stair as shown in the picture,
=
= 30 cm
Length of every stair has = 100 cm
Every horizontal and vertical stair has the same area.
Area of one stair = Length × Width
= 100 × 30
= 3000 cm square
There are 4 horizontal and 4 vertical similar stairs to be painted in gold.
Total area to be painted in gold = 8 × Area of one stair
= 8 × (3000)
= 24000 cm²
Total area to be painted in gold = 24000 cm²