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 11 feet by 1 foot12 inches.
Converting feet to inches by multiplying 11 feet by Start Fraction 1 foot over 12 inches End Fraction .
B. 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 .
C. 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 .
D. Converting feet to inches by multiplying 10 feet by 12.
Converting feet to inches by multiplying 10 feet by 12.
B. Converting feet to inches by multiplying 10 feet by 12 inches/1 foot. Converting feet to inches by multiplying 10 feet by 12 inches/1 foot makes the most sense because it correctly converts the distance from feet to inches.
The correct answer is B. Converting feet to inches by multiplying 10 feet by 12 inches/1 foot.
To use the formula d=vt, we need to make sure that the units are consistent. The given distance is in feet (10 feet), and the given velocity is in inches per second (3 inches per second).
Since 1 foot is equal to 12 inches, it makes sense to convert the distance from feet to inches. In this case, we need to multiply the distance (10 feet) by the conversion factor 12 inches/1 foot, which will give us the distance in inches.
To determine the time it takes for the ladybug to crawl up the wall, we can use the formula d=vt, where d is the distance, v is the velocity, and t is the time.
Given that the ladybug is traveling at a velocity of 3 inches per second and the distance is 10 feet, we need to convert the distance to inches in order to use the formula.
Option A suggests converting feet to inches by multiplying 11 feet by 1 foot/12 inches, which is incorrect. The conversion factor should be 12 inches/1 foot, not 1 foot/12 inches.
Option B suggests converting feet to inches by multiplying 10 feet by 12 inches/1 foot, which is the correct conversion. Multiplying by this conversion factor cancels out the unit of feet, leaving us with the distance in inches.
Option C suggests dividing 10 feet by 12 inches/1 foot, which is incorrect. Division would not convert feet to inches; it would yield a different value.
Option D suggests multiplying 10 feet by 12, which is incorrect. This would give the distance in inches, but it does not convert the unit of feet correctly.
Therefore, the correct unit conversion to use is Option B, converting feet to inches by multiplying 10 feet by 12 inches/1 foot.