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A tortoise walks 3 inches in 1 second. How many feet per second can the tortoise walk?

To answer the question, you need to write a conversion factor to convert
✔ inches to feet
The correct conversion factor has the inches in the
denominator
The correct conversion factor has the feet in the
numerator
.
The tortoise can walk
feet per second.

Sagot :

mathstudent55

Answer:

0.25 ft/sec

Step-by-step explanation:

3 inches/second × (1 ft)/(12 inches) = 0.25 ft/sec

tessyaelv

Answer:

The tortoise can walk 0.25 foot per second.

Step-by-step explanation:

3 inches in 1 second can be rewritten in fraction form as:

[tex]\frac{3 \text{ in}}{1 \text{ sec}}[/tex]

A conversion factor should have two numbers in different units that are equal to each other. We have to go from inches to feet. To cancel out the inches unit, we must write a conversion factor with inches on the opposite side. Since we have inches in the numerator, the conversion factor must have inches in the denominator and feet in the numerator to replace the inches. There 12 12 inches in a foot, so the conversion factor will look like this:

[tex]\frac{1 \text{ft}}{12\text{ in}}[/tex]

We'll multiply our original fraction by the conversion factor, and cross out terms that have been canceled out by being in both the numerator and denominator.

[tex]\frac{3 \text{ in}}{\text{1 sec}}*\frac{1 \text{ft}}{12\text{ in}}=\frac{\text{3 ft}}{12\text{ sec}}[/tex]

The inches cancel out because we see it in both the numerator and the denominator. We are left with feet in the numerator and seconds in the denominator. Our final answer must be "per second", meaning there must be "1 sec" in the denominator. To do this, we will divide by (12/12), which will not change the value of our answer because it is equal to 1.

[tex]\frac{\text{3 ft}}{12\text{ sec}}\div \frac{12}{12} = \frac{0.25 \text{ ft}}{1 \text{ sec}}[/tex]

So, the tortoise can walk 0.25 feet in 1 second, or 0.25 foot per second.

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