Question

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)

Answer 1

$0.75

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:
`y=kx`.

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.

`6=k*8`

`k=(6)/(8)`

`k=(3)/(4)`

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

`y=(3)/(4)*1`

`y=(3)/(4)`

`y=0.75`

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