Mathematics, 18.12.2019 10:31 Toady8432

Could someone me tell me which ones are proportional and which ones are not?

Answers: 3

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Answer from: sjdpdpisdjsipjd7327

Table a represent a proportional relationship

Table b represent a proportional relationship

Table c not represent a proportional relationship

Table d not represent a proportional relationship

Table e represent a proportional relationship

Table f not represent a proportional relationship

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $k=\frac{y}{x}$ or y=kx

Verify each table

Find the value of the constant of proportionality k for each ordered pair

If all the values of k are equal, then the table represent a proportional relationship

$k=\frac{y}{x}$

Table a

For x=2, y=14 ----> $k=\frac{14}{2}=7$

For x=5, y=35 ----> $k=\frac{35}{5}=7$

For x=7, y=49 ----> $k=\frac{49}{7}=7$

For x=10, y=70 ----> $k=\frac{70}{10}=7$

All the values of k are equal

therefore

The table a represent a proportional relationship

Table b

For x=-10, y=50 ----> $k=\frac{50}{-10}=-5$

For x=-2, y=10 ----> $k=\frac{10}{-2}=-5$

For x=4, y=-20 ----> $k=\frac{-20}{4}=-5$

For x=14, y=-70 ----> $k=\frac{-70}{14}=-5$

All the values of k are equal

therefore

The table b represent a proportional relationship

Table c

For x=-1, y=-24 ----> $k=\frac{-24}{-1}=24$

For x=2, y=48 ----> $k=\frac{48}{2}=24$

For x=4, y=90 ----> $k=\frac{90}{4}=22.5$

For x=8, y=192 ----> $k=\frac{192}{8}=24$

All the values of k are not equal

therefore

The table c not represent a proportional relationship

Table d

For x=-6, y=12 ----> $k=\frac{12}{-6}=-2$

For x=-3, y=6 ----> $k=\frac{6}{-3}=-2$

For x=3, y=-6 ----> $k=\frac{-6}{3}=-2$

For x=6, y=-10 ----> $k=\frac{-10}{6}=-1.67$

All the values of k are not equal

therefore

The table d not represent a proportional relationship

Table e

For x=2, y=13.5 ----> $k=\frac{13.5}{2}=6.75$

For x=5, y=33.75 ----> $k=\frac{33.75}{5}=6.75$

For x=10, y=67.5 ----> $k=\frac{67.5}{10}=6.75$

For x=15, y=101.25 ----> $k=\frac{101.25}{15}=6.75$

All the values of k are equal

therefore

The table e represent a proportional relationship

Table f

For x=-4, y=-38 ----> $k=\frac{-38}{-4}=9.5$

For x=-1, y=-9.5 ----> $k=\frac{-9.5}{-1}=9.5$

For x=2, y=19 ----> $k=\frac{19}{2}=9.5$

For x=3, y=27 ----> $k=\frac{27}{3}=9$

All the values of k are not equal

therefore

The table f not represent a proportional relationship

Answer from: Quest

answer: 34rtyj,jkhtyetwrhyjeuiejnbhdfknbkguxfrbhkfdbjvkmbd,kvbsd.kxjvbhjnfbgjxdfn

step-by-step explanation:

Which of the following describes the transformations performed on the object shown above? a. the o

Answer from: Quest

answer is 144

step-by-step explanation:

$(x^{\frac{1}{8} }) (x^{\frac{3}{8} }) = 12\\$

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