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2.A Homework

Part 1 of 2

Identify the units of the following quantities. State the units mathematically and in words.

Your average speed on a long walk, found by dividing distance traveled in inches by time elapsed in hours.

What are the units mathematically?
A. [tex]\frac{\text{in}}{\text{hr}}[/tex]
B. hr
C. in
D. [tex]\frac{\text{hr}}{\text{in}}[/tex]


Sagot :

To determine the correct units for the average speed of a long walk, we need to understand the relationship between distance and time.

1. Identify the quantities involved:
- Distance traveled: This is measured in inches (in).
- Time elapsed: This is measured in hours (hr).

2. Conceptualize the formula for average speed:
- Speed is typically calculated as Distance divided by Time.
- Mathematically, this relationship is expressed as:
[tex]\[ \text{Speed} = \frac{\text{Distance}}{\text{Time}} \][/tex]

3. Substitute the units into the formula:
- Distance is given in inches (in).
- Time is given in hours (hr).
- Thus, substituting these units into the speed formula, we get:
[tex]\[ \text{Speed} = \frac{\text{inches}}{\text{hours}} \][/tex]

4. Express the units mathematically:
- The units of speed will therefore be:
[tex]\[ \frac{\text{ in }}{\text{ hr }} \][/tex]

5. State the units in words:
- The units of average speed are "inches per hour".

Based on this understanding, the correct answer is:
[tex]\[ \text{A. } \frac{\text{ in }}{\text{ hr }} \][/tex]