The equation d = 2.5t + 4 gives the depth of the snow on the ground during a snowstorm. The variable t stands for the time that has passed since the start of the storm, and d stands
for the total depth of the snow in inches. Which statement is true?
The snow is falling at a rate of 6.5 inches per
hour
d = 2.5t + 4
The snow is falling at a rate of 4 inches per
hour
7 = time since storm started (hours)
d = depth of snow (inches)
The snow is 4 inches deep before the storm
starts.
The snow is 6.5 inches deep before the storm
starts
lo

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.