compare proportional relationships practice question 1

2 answers

Question: In a science experiment, the mass of a substance is directly proportional to the volume of the substance. Substance A has a mass of 20 grams and a volume of 4 cubic centimeters. Substance B has a mass of 40 grams. What is the volume of Substance B?

Answer:
To solve this problem, we can set up a ratio of mass to volume for Substance A:
Mass of Substance A: Volume of Substance A = 20 grams : 4 cubic centimeters
This ratio simplifies to: 5 grams : 1 cubic centimeter.

Since mass is directly proportional to volume, we can use the same ratio to find the volume of Substance B:
Volume of Substance B = Mass of Substance B / (5 grams : 1 cubic centimeter)
Volume of Substance B = 40 grams / 5 grams = 8 cubic centimeters.

Therefore, Substance B has a volume of 8 cubic centimeters.
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 :)
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