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
