compare proportional relationships

2 answers

Proportional relationships are relationships between two quantities where their ratio remains constant. There are two main types of proportional relationships: direct proportions and inverse proportions.

Direct Proportions:
- In direct proportions, as one quantity increases, the other quantity also increases at a constant rate.
- The ratio between the two quantities remains the same throughout.
- For example, if you are baking cookies and need to double the amount of ingredients, the proportions of ingredients will remain the same.

Inverse Proportions:
- In inverse proportions, as one quantity increases, the other quantity decreases at a constant rate.
- The product of the two quantities remains constant throughout.
- For example, if you are driving at a constant speed, the time it takes to travel a certain distance is inversely proportional to the speed at which you are driving.

In summary, proportional relationships involve two quantities with a constant ratio, either increasing together (direct proportion) or one increasing while the other decreases at a constant rate (inverse proportion).
Answers! :)
PRACTICE
1. The equation for Employee 1 is y = 10x
The equation for Example 2 is y = 15x
2. Enter 2 cuz Store B is the answer
3. Enter 2 for House 2
4.Enter 2 cuz its for player 2
5. Enter 2 its for option B
Ik that was a lot of 2's but at least you wont mess up unless your dumb
Quick Check
1. Biker A can cycle faster, 15 mph
2.Granny Smith apples are cheaper at $1.75 per sound
3. Cookie A makes more cookies than Cookie B from one cup of sugar. Cookie A makes 40 cookies, and Cookie B makes 36 cookies from one cup of sugar.
4. Student 2 reads faster than Student 1 by 5 pages per hour
5.Store 2 has the better buy on footballs. Store 1's football cost $12, and Store 2's football costs $9

I got them all correct, and I hope this helps :)