Brooksjm91
contestada

George observes that for every increase of 1 in the value of x, there is a increase of 60 in the corresponding value of y. He claims that the relationship represented by the table is proportional. critique George's reasoning.
Table for x: 1, 2, 3, 4, 5
Table for y: 90, 150, 210, 270, 330

Respuesta :

naomi479xx

Hi there!

FACTS :

To see if multiple ratios are proportional, you can write them as fractions, reduce them, and compare them. If the reduced fractions are all the same, then you have proportionnal ratios. You can also write them as fractions and divide the numerator (top number) by its denominator (bottom number), and compare the decimal numbers the same way you would compare the fractions (I personnaly find this method easier because you don't need to simplify the fractions).

STEPS TO ANSWER:

x = 1 ; y = 90 → [tex]\frac{1}{90} =[/tex] 1 ÷ 90 = 0.01111111...


x = 2 ; y = 150 → [tex]\frac{2}{150} =[/tex] 2 ÷ 150 = 0.0133333...


x = 3 ; y = 210 → [tex]\frac{3}{210} =[/tex] 3 ÷ 210 = 0.01428571


x = 4 ; y = 270 → [tex]\frac{4}{270} =[/tex] 4 ÷ 270 = 0.0148148...


x = 5 ; y = 330 → [tex]\frac{5}{330} =[/tex] 5 ÷ 330 = 0.01515152


** You didn't really need to calculate them all because even the first two decimal numbers weren't equivalent, but I wanted to show you the whole process so I calculated them all.


⇒ If you compare all the decimals you got, you can easily see that they are not the same, which means that the ratios between the values of "x" and the values of "y" are not proportional. Therefore, George's reasoning wasn't good.


There you go! I really hope this helped, if there's anything just let me know! :)

MrRoyal

George's claim that the table is proportional is incorrect

How to critique George's reasoning?

The table is given as:

Table for x: 1, 2, 3, 4, 5

Table for y: 90, 150, 210, 270, 330

George claim that as x increase by 1, y increases by 60.

This means that:

As x decreases by 1, y decreases by 60.

So, the table can be rewritten as:

Table for x: 0, 1, 2, 3, 4, 5

Table for y: 30, 90, 150, 210, 270, 330

Notice that the table do not have a value of (0,0)

This means that the table is not proportional

Hence, George's claim that the table is proportional is incorrect

Read more about proportional relationships at:

https://brainly.com/question/12242745

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