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High School Math : Understanding Direct Proportionality

Study concepts, example questions & explanations for High School Math

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Example Questions

Example Question #1 : Understanding Direct Proportionality

Sarah notices her map has a scale of $\frac{1}{4}\; in=1\; mile$ . She measures $12.5\; in$ between Beaver Falls and Chipmonk Cove. How far apart are the cities?

Possible Answers:

$50\; miles$

$90\; miles$

$25\; miles$

$60\; miles$

$75\; miles$

Correct answer:

$50\; miles$

Explanation:

$\frac{1}{4}\; in=1\; mile$ is the same as $1\; in = 4\; miles$

So to find out the distance between the cities

$12.5\; in \cdot \frac{4\; miles}{1\;in }=50\; miles$

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Example Question #2 : Understanding 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:

$0.50\; gallons$

$1.00\; gallons$

$0.75\; gallons$

$1.50\; gallons$

$1.75\; gallons$

Correct answer:

$1.50\; gallons$

Explanation:

First set up the proportion:

$\frac{3\; parts \; yellow}{1 \; part\; red}=\frac{x \; quarts \; yellow}{2 \; quarts \; red}$

x = $6 \; quarts\;yellow\; paint$

Then convert this to gallons:

$6 \; quarts\; \cdot \frac{1 \; gallon}{4\; quarts}= 1.50\; gallons$

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Example Question #246 : Algebra Ii

If is directly proportional to , and x=2 when y=8 , find a formula for .

Possible Answers:

y=8x

$y=\frac{x}{4}$

y=4x

$\frac{y}{4}=x$

y=2x

Correct answer:

y=4x

Explanation:

8=k*2 since x=2 and y=8

Solving for , you get that k=4

Replacing in the original equation, you get the answer of

y=4x

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High School Math : Understanding Direct Proportionality

Study concepts, example questions & explanations for High School Math

All High School Math Resources

Example Questions

Example Question #1 : Understanding Direct Proportionality

Example Question #2 : Understanding Direct Proportionality

Example Question #246 : Algebra Ii

All High School Math Resources

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