Question

(Please HELP) 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.

Part B: Find the falcon's rate in meters per hour.

Part C: Find the falcon's rate in kilometers per hour.

Part D: Which unit, meters, or kilometers, makes more sense to use in this scenario, and why?

Answer 1

Answer:

$A.\ r = \frac{d}{t}$

$B.\ r = 200,000m/h$

$C.\ r = 200\ km/h$

D. Kilometres makes more sense

Step-by-step explanation:

Given

d = rt

d = 800,000 metres

t = 4 hours

Required

Answer Part A to D

A. Rearrange the formula;

Here, we simply divide both sides by t

$d = rt$

$\frac{d}{t} = \frac{rt}{t}$

$\frac{d}{t} = r$

Reorder

$r = \frac{d}{t}$

B. Solve for r in metres per hour

Here, d = 800,000 metres and t = 4 hours

$r = \frac{d}{t}$ becomes

$r = \frac{800,000m}{4h}$

$r = 200,000m/h$

C. Solve for r in kilometre per hous

We start by converting d = 800,000 metres to kilometres

If $1 metre = 0.001 kilometre$, then

$800,000 metres = 800,000 * 0.01 kilometre$

$800,000 metres = 800 kilometre$

So, $d = 800\ kilometres$ and $h = 4 hours$

$r = \frac{d}{t}$ becomes

$r = \frac{800\ km}{4\ h}$

$r = 200\ km/h$

D. Which unit makes more sense

As a standard, when calculating speed or velocity, metres is used viz a viz seconds while kilometres is used along with hours;

Since, the first unit (metres) is best used with seconds and the second unit (kilometre) is best used with hours, it's safe to conclude that kilometres makes more sense