Two similar polygons are shown below: Which transformation was performed on PQRS to form P′Q′R′S′?

a. A dilation factor of 2

b. A dilation factor of 4

c. A dilation factor of 1 over 2

d. A dilation factor of 1 over 4

a. A dilation factor of 2

Step-by-step explanation:

S'R'/SR = 2/1 = 2

1.4

2.3

step-by-step explanation:

the formula for the constant of variation is

y= kx

divide each side by x

y/x =kx/x

y/x =k

we know a and y

1.   y/x = k

4/1 =4

check the other values to make sure they are the same

8/2 = 4   12/3 =4   and 16/4 =4  

the constant of variation is 4

2.   y/x = k

3/1 =3

check the other values to make sure they are the same

6/2 = 3   9/3 =3   and 12/4 =3  

the constant of variation is 3

46 dollars is the answer.

step-by-step explanation:

6*6 = 36,         36+10=46