A pipeline for transporting oil will connect two points A and B that are 3 miles apart on opposite banks of a straight river that is 1 mile wide. Part of the pipeline will run under the water from point A to a point C on the opposite bank, and then above ground from point C to point B. If the costs per mile for running the pipeline under the water is 4 times the cost per mile of running it above ground, find the location of point C that will. minimize the total cost.

horizontal translation of 2 units in the positive x direction

followed by

vertical translation of 3 units in the positive y direction

option a is correct.

step-by-step explanation:

scale factor: it is used to find proportional measurements.

proportions means having the same ratio.

scale factor is the ratio of the model measurement to the actual measurement in a simplest form.

or we can say that the ratio of any two corresponding lengths in two similar geometric figures

if the scale factor is more than 1, then it is an enlargement,

if the scale factor less than 1, then it is a reduction.

given the two geometric figure:

by definition of proportions, we have