Question

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.

Answer 1

Step-by-step explanation:

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

They have a proportional relationship:

`y=kx`

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:

`\begin{gathered} 4=k*10 \\ k=(4)/(10)=(2)/(5) \end{gathered}`

The relationship is:

`y=(2)/(5)x`

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