Question

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: Rearrange the distance formula, d = rt, to solve for time.

Answer 1

Answer:

Step-by-step explanation:

the equation would be 800,000 = r(4)

to solve first you change it to 800,000 = 4r

Then you just divide both sides of the equation by 4 which gets r = 200,000

Answer 2

Answer:

$\textsf{A)} \quad r=\dfrac{d}{t}$

B)  200,000 meters per hour

$\textsf{C)} \quad t=\dfrac{d}{r}$

Step-by-step explanation:

Part A

Given distance formula:

$\large\boxed{d=rt}$

where:

• d = distance (in meters)
• r = rate (in meters per hour)
• t = time (in hours)

To rearrange the distance formula to solve for rate, isolate r:

$\implies d=rt$

$\implies rt=d$

$\implies \dfrac{rt}{t}=\dfrac{d}{t}$

$\implies r=\dfrac{d}{t}$

Part B

Given information:

• Distance (d) = 800,000 meters
• Time (t) = 4 hours

Substitute the given information into the equation from part A and solve for r:

$\implies r=\dfrac{d}{t}$

$\implies r=\dfrac{800000}{4}$

$\implies r=200000$

Therefore, the falcon's rate is 200,000 meters per hour.

Part C

To rearrange the distance formula to solve for time, isolate t:

$\implies d=rt$

$\implies rt=d$

$\implies \dfrac{rt}{r}=\dfrac{d}{r}$

$\implies t=\dfrac{d}{r}$