Ascale drawing of a lake has a scale of 1cm to 80 m. if the actual widthof the lake is 1,000 m, what is the width of the lake on the scale drawing? explain or show your reasoning.

12.5 cm

Step-by-step explanation:

To find the distance, set up a proportion. A proportion is two equal ratios set equal to each other. We form the ratios by using corresponding values. We write a ratio of and simplify.  

We know . We also know

.

We set them equal.

To find the width on the map, we cross multiply numerator and denominator.

6, 10

9, -13

12, -21

18, -23

step-by-step explanation:

you just add 6 to the x-coordinate and subtract 10 from the y-coordinate.

thats not a system of equations, that is a solution