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22 votes
22 votes
Which of the following proportions is true?

10/40 = 8/36
8/18 = 6/16
9/15 = 44/50
12/18 = 16/24

User Oaklodge
by
2.4k points

2 Answers

21 votes
21 votes

Hello!

10/40 = 8/36 ?

10 × 36 = 40 × 8

360 = 40 × 8

360 320 => 10/40 8/36

8/18 = 6/16 ?

8 × 16 = 18 × 6

128 = 18 × 6

128 108 => 8/18 6/16

9/15 = 44/50 ?

9 × 50 = 15 × 44

450 = 15 × 44

450 660 => 9/15 44/50

12/18 = 16/24 ?

12 × 24 = 18 × 16

288 = 18 × 16

288 = 288 => 12/18 = 16/24

Good luck! :)

User Ryan Mrachek
by
2.9k points
20 votes
20 votes

Answer:

D. 12/18 = 16/24

Explanation:

The method we must go about to solve this is finding the constant. For A, we can solve it by doing 10 divided by 8 (which is 1.25) and then 40 divided by 1.25 to see if it is 36. Alternatively, we can do 10 divided by 8 and then 40 divided by 36 to see if the constant is the same. It's up to you!

My answers:

A. No (constant varies)

B. No (constant varies)

C. No (constant varies)

D. Yes! Constant is 0.75

How to solve for D:

12/16 = 0.75

18/0.75 = 24 OR 18/24 = 0.75

I hope this helps! Please don't hesitate to reach out with more questions!

User Ocolot
by
2.9k points
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