If there is a proportional relationship between the number of pounds of potatoes (x) and the price in dollars (y), this means that the ratio of the two variables is constant. In other words:
x/y = k
Where k is the constant of proportionality.
Given that the ordered pair (5, 4) is on the graphed line, we can substitute these values into the equation:
5/4 = k
To find the price of 1 pound of potatoes, we need to find y when x = 1. We can use the constant of proportionality to do this:
1/y = k
Substituting the value of k from the first equation:
1/y = 5/4
To solve for y, we can cross-multiply:
4 = 5y
Dividing both sides by 5:
y = 4/5
Therefore, the price of 1 pound of potatoes is $0.80.
A proportional relationship between the number of pounds of potatoes(x) and the price in dollars(y) is graphed, and the ordered pair (5, 4) is on the graphed line. What is the price of 1 pound of potatoes?
1 answer