What is the rate of work?
7th Grade Unit 4 1.0

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Mathematics
•
6th - 8th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
The rate of work is the amount of work done per unit of time. It can be calculated by dividing the total work by the time taken to complete it.
2.
FLASHCARD QUESTION
Front
If Austin mowed 7 lawns in 4 hours, how do you find the time to mow 21 lawns?
Back
To find the time to mow 21 lawns, first find the rate: 7 lawns/4 hours = 1.75 lawns/hour. Then, divide 21 lawns by the rate: 21 / 1.75 = 12 hours.
3.
FLASHCARD QUESTION
Front
How do you calculate the time taken to walk one mile if a turtle takes 3 ¼ hours to walk 1 ½ miles?
Back
Convert 3 ¼ hours to an improper fraction: 13/4 hours. Then, divide by 1.5 (or 3/2): (13/4) / (3/2) = (13/4) * (2/3) = 13/6 hours.
4.
FLASHCARD QUESTION
Front
What is a unit rate?
Back
A unit rate is a comparison of two different quantities when they are combined together. It is often expressed as a quantity per one unit of another quantity.
5.
FLASHCARD QUESTION
Front
If a dog eats 1/3 of a bag of food in 1/2 week, how do you find how much it eats in one week?
Back
To find how much the dog eats in one week, multiply the amount eaten in half a week by 2: (1/3) * 2 = 2/3 of a bag.
6.
FLASHCARD QUESTION
Front
What is the formula to find the total amount of paint needed if you know the amount used for a fraction of a room?
Back
If 'x' gallons are used for 'y' of the room, the total gallons needed is: Total = (x / y) * 1.
7.
FLASHCARD QUESTION
Front
How do you find the time to fill a bucket if it fills at a constant rate?
Back
To find the time to fill the bucket, divide the height of the bucket by the rate of filling. For example, if the bucket is 12 inches tall and fills at 1/2 inch every 1/6 hour, calculate: 12 / (1/2 * 6) = 4 hours.
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