A proportional relationship between the number of pounds of potatoes(x) and the price in dollars(y) is graphed, and the ordered pair (4, 3) is on the graphed line.What is the price of 1 pound of potatoes?

Answer 1

To find the price of 1 pound of potatoes, we can use the slope-intercept form of a linear equation, which is y = mx + b, where m represents the slope and b represents the y-intercept.

Given that the ordered pair (4, 3) is on the graphed line, we can substitute these values into the equation to find the slope:

3 = 4m + b

Since the relationship is proportional, the slope (m) remains the same for all points on the line. Therefore, we can use the given point (4, 3) to find the value of the slope.

3 = 4m + b
3 = 4m + b
3 = 4m + b
3 = 4(1) + b
3 = 4 + b
3 - 4 = b
-1 = b

Now that we know the value of b, we can rewrite the equation as:

y = mx + b
y = 1x + (-1)
y = x - 1

Therefore, the price of 1 pound of potatoes is $1.