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For each table, determine whether it shows that X and Y are proportional. If X and y are proportional, fill in the blank with a number in simplest form. I REALLY NEED HELP WITH THIS! Please give a detailed explanation! Will mark brainliest if you have a detailed explanation! Note: it can be a fraction.

For each table determine whether it shows that X and Y are proportional If X and y are proportional fill in the blank with a number in simplest form I REALLY NE class=

Respuesta :

Step-by-step explanation:

For table 1,

x =  20     36    56     80

y =  4        6       8       10

Taking 20/4 = 5

36/6 = 6

56/8 = 7

80/10 = 8

The value of x/y is not same in any of the cases. The constant of proportionality is different. It means x and y for this table is not proportional.

For table 2,

x = 28    42    56    70

y = 20    30    40    50

Taking 28/20 = 1.4

42/30 = 1.4

56/40 = 1.4

70/50 = 1.4

The value of x/y is same in each case. The constant of proportionality is same i.e. 1.4 in each case.

[tex]\dfrac{x}{y}=1.4\\\\\dfrac{y}{x}=\dfrac{1}{1.4}\\\\\dfrac{y}{x}=\dfrac{5}{7}\\\\y=\dfrac{5}{7}\times x[/tex]

So, y is 5/7 times of the x.

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