Bob makes a scale drawing of a statue using the scale 1 cm : 5 ft. his drawing measures 12 cm. kia makes a scale drawing of the same statue using the scale 1 cm : 4 ft. how many centimeters tall is the statue in kia's drawing?

Kia's drawing is 15 cm tall

Step-by-step explanation:

Let's first investigate what the actual size of the statue is based on the information we have from Bob's drawing:

12 cm is the height in his drawing, and since he used a scale 1 cm : 5 ft, this means that his 12 cm are representing a statue which is 12 * 5 ft tall:

statues height =

Now that we know the size of the actual statue, we can find the size of Kia's drawing, who uses a scale 1 cm : 4 ft.

Kia's drawing =

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

10000

step-by-step explanation: divide by 2,