Proportional Relationships Practice
1. Write the ratio that compares 36 social media posts to 16 social media posts using fractional notation. Simplify the improper fraction to lowest terms.
2. Write the ratio 12:36 as an equivalent of x:3.
3. How do you write 4 is to 16 as 12 is to 48 as a proportion in fractional notation? Do not simplify your answer.
__ = __
4. A company pays their employees $20 per hour. Using fractional notation, write a proportion that represents how long an employee must work to make $80. Use x to represent the unknown number of hours.
5. Which of the following, Option 1 or Option 2, is a proportion?
Option 1: 7/8 = 20/22
Option 2: 7/8 = 21/24
Option __ is a proportion.
4. is 2.5/10 = 12/48
1. The ratio that compares 36 social media posts to 16 social media posts in fractional notation is 36/16. This fraction simplifies to 9/4 in lowest terms.
2. To find an equivalent ratio of 12:36 as x:3, we set up the proportion 12/36 = x/3. We can simplify this by dividing both sides by 12, which gives us 1/3 = x/3. So, x = 1.
3. To write 4 is to 16 as 12 is to 48 as a proportion in fractional notation, we have 4/16 = 12/48.
4. To represent the situation where a company pays their employees $20 per hour and the unknown number of hours is represented by x to make $80, the proportion can be written as 20/1 = 80/x.
5. Option 1 is a proportion: 7/8 = 20/22.
For number five, option 2 was the proportion.
Apologies for the confusion.
Option 2: 7/8 = 21/24 is a proportion.
Proportional Relationships Quick Check
1. Describe three ways to write the ratio that compares 4 electronic devices for every 3 people.
2. How do you write 5 is to 1 as 20 is to 4 as a proportion in fractional notation?
3. You fill your car with 15 gallons of gas at a cost of $45. Using fractional notation, how do you write a proportion that shows how much 5 gallons of gas will cost? Use x to represent the unknown cost.
4. Determine if 2.5/10 ?/= 12/48 or 2.5/2 ?/= 12/24 is a proportion.
5. Determine if one, both, or neither is a proportion. 16/8 ?/= 24/12, 8/4 ?/= 12/6
1. Three ways to write the ratio that compares 4 electronic devices for every 3 people are:
- 4:3
- 4/3
- 4 to 3
2. To write 5 is to 1 as 20 is to 4 as a proportion in fractional notation, we have:
5/1 = 20/4
3. To represent the situation where you fill your car with 15 gallons of gas at a cost of $45 and the unknown cost for 5 gallons of gas is represented by x, the proportion can be written as:
15/45 = 5/x
4. The proportion 2.5/10 ?/= 12/48 is not correct because it can be simplified to 1/4 = 1/4, which is true. However, the proportion 2.5/2 ?/= 12/24 is correct because it simplifies to 1.25/2 = 0.5/1, which is also true.
5. Both 16/8 ?/= 24/12 and 8/4 ?/= 12/6 are proportions. The first one simplifies to 2/1 = 2/1, which is true. The second one simplifies to 2/1 = 2/1, which is also true.
Apologies for the earlier mistake.
4. The proportion 2.5/10 = 12/48 is a proportion.