Question

A small plane flies 760,320 yards in 2 hours. Use the formula d=rt, 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 planes rate in yards per hour

Part C: Find the planes rate in miles per hour

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

PLEASE ANSWER ASAP

Answer 1

Answer:

Step-by-step explanation:

A) Divide both sides of equation by t to isolate r. Then, r = d/t

• d=rt
• d/t = rt/t
• d/t = r

B) Plugging in the given numbers, solve:

d = distance which is 760,320 yards

r = rate which is unknown

t = time which is 2 hours.

• r = d/t
• r = 760,320 yards / 2 hours
• r = 380,160 yards per hour

C) The conversion from yards to miles, 1 yard = 1760 miles. So, multiply by the previous answer in (B) by the two ratios or just divide:

• 380,160 yards / 1760 miles = 216 miles per hour

D) Use miles in this scenario because of the number of significant digits (yards would require a number in the hundred-thousands).

Answer 2

Answer:

Step-by-step explanation:

A

d = r * t                  Divide by t

r = d/t

B

d = 760320 yards

t = 2 hours

r = 760320 / 2

r = 380160 yards / hour

C

1 mile = 1760 yards

So divide 380160 by 1760 to get miles per hour.

r = (380160 / 1760) / hour

r = 216 miles per hour.

D

Use miles. We can relate to miles more easily. Cars can travel 100 miles per hour. This plane goes slightly twice more than a car. We have no idea what to relate yards to. Try football fields which about 100 yards

That means that 380160 / 100 = 3802 football fields can be travelled in an hour. Does that make any  sense to you? It does not to me.