Question

Emma calculated the slope of the downhill hike to be . Her work is shown below. Determine whether her calculation was correct or incorrect, and then explain why. (2 points: 1 for the answer, 1 for the explanation)

7. Confirm or disprove Emma's work by using two other points from the slope of the downhill hike. (1 point)



8. What does the slope tell you about the rate of change in elevation during descent? (1 point for identifying the rate of change)

Answer 1

• Emma made a mistake. The slope should be -40.

Explanation:

Pair of points (x, y):

• (165, 900) and (180, 300)

Slope formula:

• m = (y₂ - y₁)/(x₂ - x₁)

Calculate the slope:

• Slope = (300 - 900)/(180 - 165) = -600/15 = -40