A team of zoologists collected data on the velocity of falcons using a speedometer. The speedometer measured that a falcon was flying at 68 mph. The zoologists are interested in finding out how many hours it would take for the falcon to fly 52,800 feet if it continues to fly at a constant speed of 68 mph. In order to use units to verify your rearrangement of the formula, what process needs to be done? Enter the value that corresponds to your answer.

Question

Option #1: miles

Option #2: yards

Option #3: hours

(1 point)
I would need to convert the units of distance from feet to Option #
.

Answer 1

To determine how many hours it would take for the falcon to fly 52,800 feet at a speed of 68 mph, we first need to ensure that both distance and speed are in consistent units.

The speed of the falcon is given as 68 miles per hour (mph), and we have a distance of 52,800 feet. To use the formula \( \text{time} = \frac{\text{distance}}{\text{speed}} \), we should convert the distance from feet to miles.

1 mile = 5,280 feet. To convert 52,800 feet to miles, we can use the following calculation: \[ \text{Distance in miles} = \frac{52,800 \text{ feet}}{5,280 \text{ feet per mile}} = 10 \text{ miles} \]

Now both the speed (68 mph) and the distance (10 miles) are in the same units (miles), allowing us to calculate the time: \[ \text{Time} = \frac{\text{Distance}}{\text{Speed}} = \frac{10 \text{ miles}}{68 \text{ mph}} \approx 0.147 \text{ hours} \]

Therefore, in order to verify or rearrange the formula accurately, I would need to convert the units of distance from feet to Option #1: miles.