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Κύριο περιεχόμενο

Rate review

Review the basics of rates and try some practice problems.

What is a rate?

A rate is a ratio that compares two quantities with different units of measure.
Example of a rate:
A plane flew 765 miles in 5 hours.

Unit rates

A unit rate is a comparison of two measurements where one of the terms (usually, the second term) is start color #e07d10, 1, end color #e07d10.
Examples of a unit rates:
There are 60 minutes in start color #e07d10, 1, end color #e07d10 hour.
Jen types 42 words in start color #e07d10, 1, end color #e07d10 minute.
Want to learn more about rates? Check out this video.

Finding unit rates

To find a unit rate, we divide the first quantity in a rate by the second.
Παράδειγμα:
A plane flew 765 miles in 5 hours.
765, divided by, 5, equals, 153
The plane flew at a rate of 153 miles per hour. We can also write the unit rate as 153, start text, space, m, i, l, e, s, end text, colon, start color #e07d10, 1, end color #e07d10, start text, space, h, o, u, r, end text.
Want to learn more about solving unit rates? Check out this video.

Using unit rates to solve rate problems

Ας δούμε ένα παράδειγμα.
Mark can make start color #11accd, 42, end color #11accd birthday cakes in start color #f9685d, 7, end color #f9685d days.
How many birthday cakes can Mark make in start color #7854ab, 5, end color #7854ab days?
First, we find the unit rate.
Mark makes cakes at a unit rate of 6 cakes for every 1 day.
Now, we can use the unit rate to find how many cakes Mark makes in start color #7854ab, 5, end color #7854ab days.
In start color #7854ab, 5, end color #7854ab days, Mark can make start color #1fab54, 30, end color #1fab54 cakes.

Εξάσκηση

Πρόβλημα 1
Frances can complete 91 oil changes in 7 days.
How many oil changes can Frances complete in 11 days?
  • Η απάντησή σου έπρεπε να είναι
  • ενας ακέραιος, όπως το 6
  • ένας ακριβής δεκαδικός, όπως το 0, point, 75
  • ένα απλοποιημένο σωστο κλάσμα, όπως το 3, slash, 5
  • ένα απλοποιημένο καταχρηστικό κλάσμα, όπως το 7, slash, 4
  • ένας μεικτός αριθμός, όπως το 1, space, 3, slash, 4
oil changes

Want to try more problems like this? Check out this exercise.