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Find the unit rate of each scenario. (Show all the steps.)

Identify the units.
Calculate the ratio.

User Aaviya
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Final answer:

The unit rate, identify the given information, ensure values are in the correct units, substitute into an equation, calculate the ratio, and check the units. For example, 300 miles in 5 hours gives a unit rate of 60 mph.

Step-by-step explanation:

To find the unit rate of a given scenario, we must first identify the given information and what is being asked. A unit rate is a ratio that compares quantities, one of which is 1. The units are very important. Here are the general steps to find a unit rate:

  • Identify the given information and the equation to use.
  • Convert all values to the correct units if necessary.
  • Substitute the known quantities and their units into the equation.
  • Calculate the ratio by dividing the quantities appropriately to obtain the unit rate.
  • Check that the units are canceled out correctly, and the answer makes sense.

For example, if we have a scenario where a car travels 300 miles in 5 hours, the unit rate would be the speed of the car in miles per hour (mph). By dividing 300 miles by 5 hours, we get a unit rate of 60 mph.

Remember that the unit rate has a denominator of 1. Using the conversion factors correctly will ensure that the resulting unit rate has the correct units.

User Derek Kurth
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