Question

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? (1 point) □ per pound

Answer 1

The rate of change in the purchase price in dollars per pound is found by determining the slope of the line passing through the two given points.

Let's use the slope formula:
m = (y₂ - y₁) / (x₂ - x₁)

Let (x₁, y₁) = (3, 8.25)
And (x₂, y₂) = (6, 16.50)

m = (16.50 - 8.25) / (6 - 3)
m = 8.25 / 3
m ≈ 2.75

Therefore, the rate of change in the purchase price in dollars per pound is approximately 2.75 dollars per pound.