Scale factor is the scale by which a object or figure is smaller or bigger than the original.The value of the scale factor for the given problem is 2.4.
It is given in the problem that 15 inches is equal to the one yard.
[tex]15 \: \rm in=1 \rm \: yard[/tex]
Scale factor is the scale by which a object or figure is smaller or bigger than the original.
To find out the scale factor the unit of yard should be convert into the inches.It is known that the there are total 36 inches in one yard. Thus,
[tex]1 \rm \: yard=36 \: \rm in[/tex]
compare the scale factor with the unit of yard in inches.
[tex]15\rm \: in =36 \rm \: in[/tex]
Let the scale factor is [tex]s[/tex]. Thus the scale factor for the given condition is,
[tex]s=\dfrac{36}{15}[/tex]
[tex]s=\dfrac{12}{5}[/tex]
[tex]s=2.4[/tex]
Thus the value of the scale factor for the given problem is 2.4.
Learn more about the scale factor here;
https://brainly.com/question/8765466
