A proportional relationship between the number of pounds of carrots (x) and the price in dollars (y) is graphed, and the ordered pair (8, 6) is on the graphed line. Part A: What is the price of 1 pound of carrots? Show your work. (8 points)

Respuesta :

Answer:

$0.75  

Step-by-step explanation:

We have been given that a proportional relationship between the number of pounds of carrots (x) and the price in dollars (y).

We can represent this information as: [tex]y=kx[/tex].

We are also told that the ordered pair (8, 6) is on the graphed line. Let us substitute x= 8 and y= 6 in our proportional equation to find the constant of proportionality.

[tex]6=k*8[/tex]

[tex]k=\frac{6}{8}[/tex]

[tex]k=\frac{3}{4}[/tex]

Now let us substitute k=3/4 and x=1 in our proportionality equation.

[tex]y=\frac{3}{4}*1[/tex]

[tex]y=\frac{3}{4}[/tex]

[tex]y=0.75[/tex]

Therefore, the price of 1 pound of carrots will be $0.75.