High School Math : Understanding Direct Proportionality

Study concepts, example questions & explanations for High School Math

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Example Questions

Example Question #1 : Direct Proportionality

Sarah notices her map has a scale of .  She measures between Beaver Falls and Chipmonk Cove.  How far apart are the cities?

Possible Answers:

Correct answer:

Explanation:

is the same as

So to find out the distance between the cities

Example Question #2 : Direct Proportionality

Sunshine paint is made by mixing three parts yellow paint and one part red paint. How many gallons of yellow paint should be mixed with two quarts of red paint?

(1 gallon = 4 quarts)

Possible Answers:

Correct answer:

Explanation:

First set up the proportion:

x =

Then convert this to gallons:

Example Question #1 : Understanding Direct Proportionality

If  is directly proportional to , and  when , find a formula for

Possible Answers:

Correct answer:

Explanation:

 since  and 

Solving for , you get that 

Replacing  in the original equation, you get the answer of 

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