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When multiplying conversion factors, make sure the only remaining units are the desired units.
D
We are asked to determine which of the given rates is the same as 35 miles per hour. To do this, let's convert miles per hours into feet per minute. 35 mi/1 h=ft/1 min Let's start by organizing the relationships between the units in a table.
| Starting Unit | Converted Unit | Unit Ratio |
|---|---|---|
| 1 mile | 5280 feet | 5280ft/1mi |
| 1 hour | 60 minutes | 60min/1h |
To perform this conversion, we need to multiply the given value by each unit ratio or its reciprocal. Remember, we want to arrange these ratios in a way that the units we do not want get canceled out and only the units that we do want remain.
Multiply fractions
Cancel out common factors
Simplify quotient
Multiply
Write as a product of fractions
a/b=.a /60./.b /60.
Use a calculator
a/a=1
Multiply fractions
We got that the 35 miles per hour is the same rate as 3080 feet per minute. This means that the correct option is D
Around the world, people use conversion factors on a regular basis. You can read more about some practical applications of conversion factors in our original content.