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.