Mathematics, 02.07.2019 09:00 gshreya2005

Which table shows a proportional relationship between weight and price?

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Answer from: liliumflower19

second table (see the attached figure)

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 y/x=k or y=kx

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

Verify each table

First table

Let

x ----> the weight in lb

y ----> the price in dollars

For x=1.5, y=3.50

Find the value of the constant of proportionality k

k=y/x ----> $k=3.5\1.5=2.33$

For x=2, y=7

k=y/x ----> k=7/2=3.5

The values of k are different

therefore

This table not represent a proportional relationship between weight and price

Second table

Let

x ----> the weight in g

y ----> the price in dollars

For x=1.5, y=0.90

Find the value of the constant of proportionality k

k=y/x ----> $k=0.90\1.5=0.6$

For x=8, y=4.80

k=y/x ----> k=4.8/8=0.6

The values of k are equal

therefore

This table represent a proportional relationship between weight and price

Third table

Let

x ----> the weight in kg

y ----> the price in dollars

For x=2, y=0.75

Find the value of the constant of proportionality k

k=y/x ----> k=0.75/2=0.375

For x=5, y=3.75

k=y/x ----> k=3.75/5=0,75

The values of k are different

therefore

This table not represent a proportional relationship between weight and price

Fourth table

Let

x ----> the weight in oz

y ----> the price in dollars

For x=2 oz, y=4

Find the value of the constant of proportionality k

k=y/x ----> k=4/2=2

For x=4 lb, y=8

convert to oz

1 lb=16 oz

4 lb=64 oz

k=y/x ----> k=8/64=0,125

The values of k are different

therefore

This table not represent a proportional relationship between weight and price

Which table shows a proportional relationship between weight and price?

Answer from: Quest

what is the answer to this

Answer from: Quest

irrational, then, just means all the numbers that aren't rational. every integer is a rational number, since each integer n can be written in the form n/1. however, numbers like 1/2, 45454737/2424242, and -3/7 are also rational, since they are fractions whose numerator and denominator are integers.

step-by-step explanation:

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