Nicole is running for school president. her best friend designed her campaign poster, which measured 3 feet by 2 feet. nicole liked the poster so much, she reproduced the artwork on rectangular buttons that measured 2 inches by 1 1/3 inches. what is the scale factor as a fraction (and how would i do

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Scale factor is:

Step-by-step explanation:

Every transformation has an original figure and a transformed figure.

In order to find the scale factor fo the transformation, we need to divide the transformed dimensions by the original ones.

So, in this case, the poster originally had 3 feet by 2 feet. Then, the reproduced artwork has 2 inches by 1 1/3 inches. Before we divide, we need to transform feet to inches.

We know that 1 feet equals 12 inches, that means

Then, we do the divisions

Therefore, the scale factor is

1) c 2143.6 cm

2) c 113.0 m

3) a 33.5 ft

4)   d 2 cm

5) c 20 mm

6) 180 in

7) d 120 ft

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below: