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Ginny has a catering buisness. There is a proportional relationship between the number of people and the amount of meat she uses for an event. For 10 people she uses 4 pounds of meat. Find the amount of meat needed for 20, 30, 40, 50, and 75 people.

Sagot :

Explanation:

Let x be the number of people and y be the amount of meat.

They have a proportional relationship:

[tex]y=kx[/tex]

To find the constant of proportionality k we use the initial information that for 10 people she uses 4 pounds of meat.

x=10 and y=4:

[tex]\begin{gathered} 4=k\times10 \\ k=\frac{4}{10}=\frac{2}{5} \end{gathered}[/tex]

The relationship is:

[tex]y=\frac{2}{5}x[/tex]

Now we just have to replace x by 20, 30, 40, 50 and 75 in this relationship and find y

Answer:

Number of people Amount of meat

20 8

30 12

40 16

50 20

75 30