Proportionalities - Math

Card 0 of 16

Question

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)

Answer

First set up the proportion:

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

x =

Then convert this to gallons:

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

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Question

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

Answer

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

So to find out the distance between the cities

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

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Question

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

Answer

since and

Solving for , you get that

Replacing in the original equation, you get the answer of

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Question

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)

Answer

First set up the proportion:

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

x =

Then convert this to gallons:

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

Compare your answer with the correct one above

Question

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

Answer

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

So to find out the distance between the cities

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

Compare your answer with the correct one above

Question

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

Answer

since and

Solving for , you get that

Replacing in the original equation, you get the answer of

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Question

If is inversely proportional to , and if when , find a formula for .

Answer

Since y is inversely porportional to x, you can use the standard equations of $y=\frac{k}{x}$ where k is a constant. Plugging the given x and y into this equation to solve for k, . To get the answer, substitute k into the standard equation.

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Question

If is inversely proportional to , and if when , find a formula for .

Answer

Since y is inversely porportional to x, you can use the standard equations of $y=\frac{k}{x}$ where k is a constant. Plugging the given x and y into this equation to solve for k, . To get the answer, substitute k into the standard equation.

Compare your answer with the correct one above

Question

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)

Answer

First set up the proportion:

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

x =

Then convert this to gallons:

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

Compare your answer with the correct one above

Question

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

Answer

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

So to find out the distance between the cities

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

Compare your answer with the correct one above

Question

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

Answer

since and

Solving for , you get that

Replacing in the original equation, you get the answer of

Compare your answer with the correct one above

Question

If is inversely proportional to , and if when , find a formula for .

Answer

Since y is inversely porportional to x, you can use the standard equations of $y=\frac{k}{x}$ where k is a constant. Plugging the given x and y into this equation to solve for k, . To get the answer, substitute k into the standard equation.

Compare your answer with the correct one above

Question

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)

Answer

First set up the proportion:

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

x =

Then convert this to gallons:

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

Compare your answer with the correct one above

Question

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

Answer

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

So to find out the distance between the cities

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

Compare your answer with the correct one above

Question

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

Answer

since and

Solving for , you get that

Replacing in the original equation, you get the answer of

Compare your answer with the correct one above

Question

If is inversely proportional to , and if when , find a formula for .

Answer

Since y is inversely porportional to x, you can use the standard equations of $y=\frac{k}{x}$ where k is a constant. Plugging the given x and y into this equation to solve for k, . To get the answer, substitute k into the standard equation.

Compare your answer with the correct one above

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