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Answer:
represents the total perimeter of the table, and if x = 3 the lentgh of entire rubber bumper is 12 feet.
Step-by-step explanation:
Perimeter is defined as the sum of sides.
For a rectangle having dimension length 'L' and breadth 'B' Since, rectangle has two sides equal.
Perimeter of rectangle = 2 ( length + breadth )
Here, given rectangle has dimension
Length = and breadth =
Thus, perimeter of rectangle =
Thus, perimeter of rectangle is ........(1)
Perimeter of rectangle , when x = 3,
Put x= 3 in (1) ,
Thus, represents the total perimeter of the table, and if x = 3 the lentgh of entire rubber bumper is 12 feet.
Given:
The table of values of an exponential function.
To find:
The missing values in the exponential function.
Solution:
The general exponential function is defined as:
...(i)
Where, a is the initial value and b is the growth factor.
First point from the given table is (1,10). It means, the equation (i) must be true for (1,10).
...(ii)
Second point from the given table is (2,20). It means, the equation (i) must be true for (2,20).
...(iii)
Dividing (iii) by (ii), we get
Putting in (ii), we get
Putting in (i), we get
The required exponential function for the given table of values is . So, the missing values are 2 and x, where 2 is in the base and x is in the power.