Which pair of ratios does not form a true proportion?
A) 6:16 and 21:56
B) 2 to 10 and 15 to 75
C) 19/11 = 27/15
D) y = 5x
Well, I must admit, this question seems to be missing something. I mean, where are all the funny ratios? This is a serious matter! Anyway, let's take a look. Ah, yes, the answer is D) y = 5x. That's not a ratio at all, it's an equation! So, it definitely doesn't form a true proportion. But really, where are all the funny ratios? I was expecting some punchlines!
To determine which pair of ratios does not form a true proportion, we need to compare the ratios and check if they are equivalent.
A) 6:16 and 21:56
To check if these ratios are equivalent, we can cross-multiply and see if the results are equal. 6 * 56 = 336 and 16 * 21 = 336. Since both products are equal, the ratios are equivalent and form a true proportion.
B) 2 to 10 and 15 to 75
Again, we can cross-multiply to check if these ratios are equivalent. 2 * 75 = 150, and 10 * 15 = 150. The products are equal, so this pair of ratios also forms a true proportion.
C) 19/11 = 27/15
Here, the ratios are already expressed as fractions. To check if they are equivalent, we can cross-multiply. 19 * 15 = 285, and 11 * 27 = 297. The products are not equal, so this pair of ratios does not form a true proportion.
D) y = 5x
This is not a pair of ratios but an equation relating two variables. It does not fit the format of a ratio, so it cannot form a true proportion.
Therefore, the correct answer is C) 19/11 = 27/15.
To determine which pair of ratios does not form a true proportion, we need to check if the cross products are equal.
Let's go through each option:
A) To check if 6:16 and 21:56 form a proportion, we calculate the cross products: (6 * 56) and (16 * 21).
Cross products: 336 and 336
Since the cross products are equal, A) is a true proportion.
B) For 2 to 10 and 15 to 75, we calculate the cross products: (2 * 75) and (10 * 15).
Cross products: 150 and 150
The cross products are equal, so B) is a true proportion.
C) In this case, both ratios are fractions: 19/11 and 27/15.
To check if they form a proportion, we calculate the cross products: (19 * 15) and (11 * 27).
Cross products: 285 and 297
Since the cross products are not equal, C) does not form a true proportion.
D) The option provided, y = 5x, is an equation and not a ratio, so it does not form a true proportion.
Therefore, the correct answer is C) 19/11 = 27/15.
6/16 = 2*3 / 2*8 = 3/8
21/56 = 7*3 / 7*8 = 3/8
so, A is a proportion
check the others in like wise