Consider the formula that relates distance, velocity, and time (d=vt) . If you are interested in the time it takes for a ladybug traveling at a speed of 3 inches per second to crawl up a 10-foot section of wall, which unit conversion makes the most sense to use?(1 point)

Responses

Converting feet to inches by multiplying 10 feet by 12.
Converting feet to inches by multiplying 10 feet by 12.

Converting feet to inches by dividing 10 feet by 12 inches1 foot.
Converting feet to inches by dividing 10 feet by Start Fraction 12 inches over 1 foot End Fraction .

Converting feet to inches by multiplying 11 feet by 1 foot12 inches.
Converting feet to inches by multiplying 11 feet by Start Fraction 1 foot over 12 inches End Fraction .

Converting feet to inches by multiplying 10 feet by 12 inches1 foot.
Converting feet to inches by multiplying 10 feet by Start Fraction 12 inches over 1 foot End Fraction .

1 answer

To convert feet to inches, the correct approach is to multiply by the conversion factor that relates feet to inches. Since there are 12 inches in 1 foot, you would multiply the number of feet by 12 to get the equivalent measurement in inches.

So, the best option would be:

Converting feet to inches by multiplying 10 feet by 12 inches/1 foot.

This can be simplified to:

\(10 , \text{feet} \times \frac{12 , \text{inches}}{1 , \text{foot}} = 120 , \text{inches}\).

Here's how the other options stack up:

  1. Converting feet to inches by dividing 10 feet by 12 inches/1 foot - This would give an incorrect answer.

  2. Converting feet to inches by multiplying 11 feet by 1 foot/12 inches - This is not applicable since you should be converting from 10 feet, not 11 feet.

  3. Converting feet to inches by multiplying 11 feet by 12 inches/1 foot - Again, this is not applicable since you should be converting from 10 feet, not 11 feet.

In conclusion, the correct and most logical conversion to use is to multiply 10 feet by the conversion factor of 12 inches per 1 foot.