Question

16. A proportional relationship between the number of pounds of tomatoes (x) and the price in dollars (y) is graphed, and the ordered pair (6,3) is on the graphed line.
What is the price of 1 pound of potatoes? Show your work, including the proportion you used to determine the price.

Answer 1

The relationship being proportional means there is a value of k such that

... y = k·x

We are given the point (6 (pounds), 3 (dollars)), so we can write ...

... 3 dollars = k·6 pounds

Dividing by 6 pounds, we get

... (3/6) dollars/pound = k = $0.50/lb

Now, we can use x=1 pound to find the price (y),

... y = ($0.50/lb)·(1 lb)

... y = $0.50 . . . . the price of 1 pound of tomatoes.