Respuesta :
Given a proportional relationship between the number of pounds of potatoes (x) and the price in dollars (y), it is assumed that
[tex]\begin{gathered} \frac{y}{x}\text{ = K ------ equation 1} \\ \text{where K is a proportionality constant} \end{gathered}[/tex]Thus, for the ordered pair (5, 4),
[tex]\begin{gathered} (5,4)\Rightarrow(x,y) \\ K\text{ = }\frac{y}{x}=\frac{4}{5} \\ \Rightarrow K=\frac{4}{5} \end{gathered}[/tex]This implies that
[tex]\begin{gathered} \frac{y}{x}=\frac{4}{5} \\ \Rightarrow y=\frac{4}{5}x\text{ ----- equation 2} \end{gathered}[/tex]A) Price of 1 pound of potatoes
[tex]\begin{gathered} x=1 \\ y=\text{ unknown} \\ \text{From equation 2,} \\ y=\frac{4}{5}x \\ y=\frac{4}{5}(1) \\ y=0.8 \end{gathered}[/tex]Thus, the price of 1 pound of potatoes is 0.8 dollars
B) The ordered pair (10,8) represents that the cost of 10 pounds of potatoes is 8 dollars.
