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 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 .

Converting feet to inches by multiplying 10 feet by 12.

1 answer

To convert the distance from feet to inches for the ladybug that is crawling up a 10-foot section of a wall, the appropriate unit conversion is:

Converting feet to inches by multiplying 10 feet by \( \frac{12 \text{ inches}}{1 \text{ foot}} \).

This choice correctly expresses the conversion factor, which allows you to convert the distance from feet to inches, ensuring the units cancel correctly and yield the desired result in inches.

Here's the calculation:

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

So, the ladybug would need to crawl up 120 inches.