In the table, we are shown different scale factors and the corresponding width and length.
We need to find A, B and C.
A is the Width when the scale factor is 1/2. A scale factor of 1/2 means we will have half of the original measures.
The original width is the Width when the scale factor is 1: 10ft.
Thus A will be:
[tex](\frac{1}{2})\times10[/tex]
which is equal to:
[tex]\frac{10}{2}=5[/tex]
The value of A is 5.
Next, to find the value of B, we consider that the original length is the length when the scale factor is 1: 18 ft.
And B is the length when the scale factor is 1/2, so to find B we multiply the scale factor 1/2 by the original length:
[tex]\frac{1}{2}\times18[/tex]
Which is equal to:
[tex]\frac{18}{2}=9[/tex]
The value of B is 9.
Finally, C is the width when the scale factor is 3.2.
So to find C, we need to multiply that scale factor by the original width (which is 10ft)
[tex]3.2\times10=32[/tex]
The value of C is 32
