I can recognize proportional relationships using tables and graphs. I can calculate rates and unit rates.
1. Which set of ordered pairs represents a proportional relationship between the x and y values?
A. (0, 0), (1, 2), (2, 4)
B.
(0, 0), (1, 2), (3, 4)
C.
(0, 0), (1, 2), (2, 1)
D. (0, 0), (1, 2), (3,9)

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.

answer: 80,000

step-by-step explanation:

the population doubles every day.

10,000*2=20,000 day 4

20,000*2=40,000 day 5

40,000*2=80,000 day 6