Question

Leah is flying her drone when her dad calls her in for lunch. The drone's height decreases as Leah pilots it to the ground.
This situation can be modeled as a linear relationship. Use the points (3, 30) and (6, 25) to find the answer.

Complete the statement that describes the situation.
The drone is at a height of ___ feet when Leah's dad calls her in for lunch. The height of the drone decreases ___ on its way to the ground.

What does the slope of the line tell you about the situation?
A. Jackson has 6 laps to go 4 minutes after the race starts.
B. Jackson has 5 laps to go 6 minutes after the race starts.
C. Jackson completes 2 laps every minute.
D. Jackson complete 1 lap every 2 minutes.

Answer 1

First find the slope:
m = (25 − 30) / (6 − 3) = −5/3.

Equation through (3, 30): y − 30 = (−5/3)(x − 3). At x = 0 (when Dad calls), y = 30 + (−5/3)(−3) = 35.

So:
- The drone is at a height of 35 feet when Leah’s dad calls her in for lunch.
- The height of the drone decreases 5 feet every 3 minutes (equivalently 5/3 feet per minute, or about 1.67 ft/min).

What the slope tells you: the slope −5/3 is the rate of change of height — the drone loses 5 feet every 3 minutes.

None of the multiple-choice options A–D correctly describes this slope for the drone situation. (A–B give specific numbers at times; C and D give different rates.)