Carolina drew x'y' 12 units long on a coordinate plane. her dilated line segment is parallel to xy, which measures 15 units long. what was the scale factor of dilation for the line segment carolina drew?

We are given

original line =XY=15 units

dilated line =X'Y'=12 units

now, we have to find dilated factor

we know that

dilated factor = (dilated line)/(original line)

Let's assume

dilated factor=D

so, we get

we can plug value

and we get

now, we can simplify it

so, we can factor numerator and denominator

3 will get cancelled

so, dilated factor is

...............Answer

9 sandwiches per hour

step-by-step explanation:

when we have a rate, we want a 1 in the denominator

27/3 = 9

27 sandwiches/ 3 hours = 9 sandwiches/hour