A small plane flies 760,320 yards in 2 hours. Use the formula d = rt, where d represents distance, r represents rate, and t repr

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A small plane flies 760,320 yards in 2 hours. Use the formula d = rt, where d represents distance, r represents rate, and t repr

esents 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 plane's rate in yards per hour. (3 points) Part C: Find the plane's rate in miles per hour. (3 points) Part D: Which unit, yards, or miles, makes more sense to use in this scenario, and why? (2 points) Please explain in steps

Mathematics

1 answer:

tester [12.3K] · Answer 1 · 2026-02-27T22:32:54+03:00

Answer:

Refer to the explanation below.

Step-by-step explanation:

We start with a small aircraft that flies 760,320 yards within a duration of 2 hours.

A)

The formula for distance is:

$d=rt$

To isolate the rate r, we divide both sides by time:

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

B)

To calculate the rate in yards per hour, divide the total yards by the hours taken. Therefore:

$r=\frac{\text{760320 yards}}{\text{2 hours}}$

Perform division:

$r=\text{380160 yd/hr}$

Thus, the aircraft speeds at 380,160 yards every hour.

C)

There are 1,760 yards in a mile.

To compute the speed in miles per hour, we apply dimensional analysis.

We recognize the rate is 380,160 yards per hour:

$r=\frac{\text{380160 yards}}{\text{1 hour}}$

To cancel "yards" from the numerator, we multiply by 1 mi/1,760 yards. Therefore:

$r=\frac{\text{380160 yards}}{\text{1 hour}}\cdot \frac{\text{1 mi}}{\text{1760 yards}}$

This eliminates yards:

$r=\frac{\text{380160}}{\text{1 hour}}\cdot \frac{\text{1 mi}}{\text{1760}}$

Now, multiply the values across:

$r=\frac{\text{380160 mi}}{\text{1760 hour}}$

Then divide:

$r=\frac{\text{216 miles}}{\text{ hour}}$

The final rate for the plane is 216 miles per hour.

D)

Miles are a more appropriate measurement in this context because the distance is substantial, making it impractical to express using yards. A rate of 380,160 yards per hour is excessive, whereas 216 miles per hour provides a clearer understanding.