A linear graph of the cost of broccoli in dollars per pound has the points (3,8.25) and (6,16.50) . What is the rate of change in the purchase price in dollars per pound?
The rate of change of the purchase price in dollars per pound is equal to the slope of the linear graph connecting the two given points.
Using the formula for slope, we have:
slope = (change in y)/(change in x)
slope = (16.50 - 8.25)/(6 - 3)
slope = 8.25/3
slope ≈ 2.75
Therefore, the rate of change in the purchase price in dollars per pound is approximately $2.75 per pound.
To find the rate of change in the purchase price in dollars per pound, we need to calculate the slope of the linear graph. The slope represents the ratio of the change in the y-coordinate (price) to the change in the x-coordinate (pound).
Let's use the formula for calculating slope:
slope = (y2 - y1) / (x2 - x1)
Given points:
Point 1: (x1, y1) = (3, 8.25)
Point 2: (x2, y2) = (6, 16.50)
Using the formula:
slope = (16.50 - 8.25) / (6 - 3)
= 8.25 / 3
The rate of change in the purchase price is therefore 8.25/3 dollars per pound.
To find the rate of change in the purchase price, you can use the slope formula, which is given by:
slope = (y₂ - y₁) / (x₂ - x₁)
Given the points (3, 8.25) and (6, 16.50), let's assign the values to the appropriate variables:
x₁ = 3
y₁ = 8.25
x₂ = 6
y₂ = 16.50
Now you can substitute these values into the slope formula:
slope = (16.50 - 8.25) / (6 - 3)
Simplifying further:
slope = 8.25 / 3
Dividing 8.25 by 3 gives:
slope ≈ 2.75
Therefore, the rate of change in the purchase price is approximately $2.75 per pound.