Ask a New Question
Menu

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?

A. Converting feet to inches by multiplying 10 feet by 12.
B. Converting feet to inches by dividing 10 feet by \(\frac{12 \text { inches }}{1 \text { foot }}\).
C. Converting feet to inches by multiplying 11 feet by \(\frac{1 \text { foot }}{12 \text { inches }}\).
D. Converting feet to inches by multiplying 10 feet by \(\frac{12 \text { inches }}{1 \text { foot }}\).

1 answer

To solve the problem, we need to convert the distance of 10 feet into inches because the ladybug's speed is given in inches per second.

To convert feet to inches, we use the conversion factor that 1 foot = 12 inches. Hence, to convert feet to inches, we multiply the number of feet by 12 inches per 1 foot.

Let's look at the options:

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

  • This is incorrect because we should multiply by 12 inches/foot, which is correct, but it misses proper notation.

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

  • This is incorrect because dividing by a fraction is not a valid way to convert in this context.

C. Converting feet to inches by multiplying 11 feet by \(\frac{1 \text { foot }}{12 \text { inches }}\).

  • This is incorrect because the problem states 10 feet, not 11 feet, and multiplying by this fraction would not result in correct unit conversion.

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

  • This is correct. It shows that we multiply 10 feet by 12 inches per foot to obtain the result in inches.

Thus, the best and correct answer is:

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