Question

(01.06 mc)
a falcon flies 800,000 meters in 4 hours. use the formula d = rt, where d represents distance, r represents rate, and t represents time, to answer the following questions. show your work.
part a: rearrange the distance formula, d = rt, to solve for rate. (2 points)
part b: find the falcons rate in meters per hour. (3 points)
part c: find the falcons rate in kilometers per hour. (3 points)
part d: which unit, meters, or kilometers, makes more sense to use in this scenario, and why? (2 points)

Explanation:

Step1: Rearrange the formula for rate

Given $d = rt$, divide both sides by $t$ to get $r=\frac{d}{t}$.

Step2: Calculate rate in meters per hour

We know $d = 800000$ meters and $t = 4$ hours. Substitute into $r=\frac{d}{t}$, so $r=\frac{800000}{4}=200000$ meters per hour.

Step3: Convert meters to kilometers

Since 1 kilometer = 1000 meters, $800000$ meters $=\frac{800000}{1000}=800$ kilometers. Then the rate in kilometers per hour is $r=\frac{800}{4} = 200$ kilometers per hour.

Step4: Analyze the appropriate unit

Kilometers makes more sense because the distance is large (800000 meters). Using kilometers gives a more manageable and intuitive - sized number for long - distance measurements.

Answer:

Part A: $r=\frac{d}{t}$
Part B: 200000 meters per hour
Part C: 200 kilometers per hour
Part D: Kilometers makes more sense because the distance is large, and using kilometers gives a more manageable and intuitive - sized number for long - distance measurements.