Question

the Liu family buys 20 pounds of chicken at the local market for 50 dollars which equation can be used to represent the cost c of buying x pounds of chicken at the same price per pounda) c=20xb) c=0.4xc) c=2.5xd) c=50x

Answer 1

The equation that can be used to represent the cost c of buying x pounds of chicken at the same price per pound is;

`c=2.5x`

Step-by-step explanation:

The relationship between cost and number of pounds of products is;

`c=rx`

Where;

c = total cost for x pounds of chicken

x = number of pounds of chicken

r = cost per pound.

To get r let us substitute the given values of c and x;

Given;

the Liu family buys 20 pounds of chicken at the local market for 50 dollars

x = 20

c = 50

substituting the values;

`\begin{gathered} c=rx \\ 50=20* r \\ r=(50)/(20) \\ r=2.5 \end{gathered}`

So, substituting the value of r into the equation;

`\begin{gathered} c=rx \\ c=2.5x \end{gathered}`

Therefore, The equation that can be used to represent the cost c of buying x pounds of chicken at the same price per pound is;

`c=2.5x`