A scale factor is a number which scales, or multiplies, some quantity. In the equation y=Cx, C is the scale factor for x. C is also the coefficient of x, and may be called the constant of proportionality of y to x. For example, doubling distances corresponds to a scale factor of 2 for distance, while cutting a cake in half results in pieces with a scale factor of ½
Explanation of Scale factor in algebra:
the following table will explain the scale factor in algebra some example given below
LENGTH AREA VOLUME
Scale Factor X X times X2 times X3 times
Scale Factor 2 2 times 4 times 8 times
Scale Factor 3 3 times 9 times 27 times
Scale Factor 4 4 times 16 times 64 times
Scale Factor 5 5 times 25 times 125 times
For example in a square having 6cm all its sides. If the same squares length is reduced to 3cm then the scale factor of the square is 1/2.
Finding Scale factor in algebra:
Some examples for scale factor in algebra.
Ex : Consider the equation C= YZ, Y was the scale factor or Z, Y is also a coefficient of Z and may be called as constant of proportionality of a to Z. By using scale factor, you are creation a smaller model of something that is quite big.
In these algebra examples we discuss the scale factor
For the given problem Y = (4) (3).
4 was the scale factor of 3
4 is also a coefficient of 3
Ex :
square1 square2
In the example square1 value of each side is 4 cm. the square2 value of each side is 8 cm. so we find the scale factor of this problem?
Sol : This example we find the scale factor of two square figures.
The second square value by first square value
Scale factor =8/4
=2
Ex : The two triangle are in the same ratio. The first triangle area is 9 sq. units and the second triangle area is 18 sq. units. Find the scale factor of the two triangle.
Sol : For the first triangle the area is 9 sq. units.
For the second triangle the area is 18 sq. units.
The scale factor = second triangle area /first triangle area
= 18/9
=2
answer for this problem = 2
Explanation of Scale factor in algebra:
the following table will explain the scale factor in algebra some example given below
LENGTH AREA VOLUME
Scale Factor X X times X2 times X3 times
Scale Factor 2 2 times 4 times 8 times
Scale Factor 3 3 times 9 times 27 times
Scale Factor 4 4 times 16 times 64 times
Scale Factor 5 5 times 25 times 125 times
For example in a square having 6cm all its sides. If the same squares length is reduced to 3cm then the scale factor of the square is 1/2.
Finding Scale factor in algebra:
Some examples for scale factor in algebra.
Ex : Consider the equation C= YZ, Y was the scale factor or Z, Y is also a coefficient of Z and may be called as constant of proportionality of a to Z. By using scale factor, you are creation a smaller model of something that is quite big.
In these algebra examples we discuss the scale factor
For the given problem Y = (4) (3).
4 was the scale factor of 3
4 is also a coefficient of 3
Ex :
square1 square2
In the example square1 value of each side is 4 cm. the square2 value of each side is 8 cm. so we find the scale factor of this problem?
Sol : This example we find the scale factor of two square figures.
The second square value by first square value
Scale factor =8/4
=2
Ex : The two triangle are in the same ratio. The first triangle area is 9 sq. units and the second triangle area is 18 sq. units. Find the scale factor of the two triangle.
Sol : For the first triangle the area is 9 sq. units.
For the second triangle the area is 18 sq. units.
The scale factor = second triangle area /first triangle area
= 18/9
=2
answer for this problem = 2
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