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m_a_m_a [10]
3 years ago
5

reply fast pls I only have 20 min to answer pls help in 20 min ill give brainlyest to the first one to reply and get it correct

Mathematics
1 answer:
Liono4ka [1.6K]3 years ago
4 0

Answer:

see the explanation

The solution's table in 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 k=\frac{y}{x} or y=kx

Let

y ----> the price

x ----> the weight

Find the value of the proportionality constant for each ordered pair in each table

k=\frac{y}{x}

If all the values of k are equal, then the table represents a proportional relationship between the variable x and the variable y

Table 1

For x=1.5 lb, y=$4.50 ---->  k=\frac{4.5}{1.50}=3

For x=2 lb, y=$9.00 ---->  k=\frac{9.00}{2}=4.5

The values of k are different

therefore

The table not represent a proportional relationship

Table 2

For x=10 g, y=$0.50 ---->  k=\frac{0.50}{10}=0.05

For x=15 g, y=$0.55 ---->  k=\frac{0.55}{15}=0.04

The values of k are different

therefore

The table not represent a proportional relationship

Table 3

For x=0.5 Kg, y=$0.75 ---->  k=\frac{0.75}{0.5}=1.5

For x=5 g, y=$7.50 ---->  k=\frac{7.50}{5}=1.5

The values of k are equal

therefore

<u><em>The table represent a proportional relationship</em></u>

Table 4

For x=1 oz, y=$2.00 ---->  k=\frac{2}{1}=2

For x=2 lb, y=$4.00

Convert lb to oz

Remember that

1 lb=16 oz

so

2 lb=2(16)=32 oz

For x=32 lb, y=$4.00 ---->  k=\frac{4}{32}=0.125

The values of k are different

therefore

The table not represent a proportional relationship

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