Proportional relationships - HiSET

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Question

An electronics store is having a sale and offering off the regular prices of all laptop computers. If the sale price for a certain laptop is $\$450.00$ , what is the regular price of the laptop?

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Answer

Notice that $\$450.00$ is the price after the discount. Therefore, the sale price of $\$450.00$ is of the regular price (or times the regular price). The regular price can be represented as , or times the regular price.

First, set up a proportion describing the problem, using to represent the unknown quantity, the regular price:

$\frac{\$450.00}{0.75} = \frac{x}{1}$

Next, cross multiply:

$\$450.00\cdot 1= 0.75\cdot x$

Finally, divide both sides by to solve for :

$x=\frac{\$450.00}{0.75}$

$x=\$600$

Therefore, the regular price is $\$600.00$ .

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Question

3 sticks of butter weigh 12 ounces combined. Using this information, determine the weight of 7 sticks of butter.

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Answer

Set up a proportional relationship, using to represent the unknown quantity (the weight of 7 sticks of butter):

$\frac{12\ ounces}{3\ sticks}$ = $\frac{x\ ounces}{7\ sticks}$

Cross multiply:

$12\cdot 7 = 3\cdot x$

$84 = 3\cdot x$

Finally, divide both sides to solve for :

$$\frac{84}{3}$ = x$

$x = 28\ ounces$

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Question

If is inversely related to and and is directly related to , which formula describes the relationship between and ?

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Answer

To say that is inversely related to is to say $x=\frac{1}{y}$$ .

To say that is directly related to is to say .

Thus, to say is inversely related to and and is directly related to is to say

$A=\frac{Z}{BC}$$

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Question

An electronics store is having a sale and offering off the regular prices of all laptop computers. If the sale price for a certain laptop is $\$450.00$ , what is the regular price of the laptop?

Tap to reveal answer

Answer

Notice that $\$450.00$ is the price after the discount. Therefore, the sale price of $\$450.00$ is of the regular price (or times the regular price). The regular price can be represented as , or times the regular price.

First, set up a proportion describing the problem, using to represent the unknown quantity, the regular price:

$\frac{\$450.00}{0.75} = \frac{x}{1}$

Next, cross multiply:

$\$450.00\cdot 1= 0.75\cdot x$

Finally, divide both sides by to solve for :

$x=\frac{\$450.00}{0.75}$

$x=\$600$

Therefore, the regular price is $\$600.00$ .

← Didn't Know|Knew It →

Question

3 sticks of butter weigh 12 ounces combined. Using this information, determine the weight of 7 sticks of butter.

Tap to reveal answer

Answer

Set up a proportional relationship, using to represent the unknown quantity (the weight of 7 sticks of butter):

$\frac{12\ ounces}{3\ sticks}$ = $\frac{x\ ounces}{7\ sticks}$

Cross multiply:

$12\cdot 7 = 3\cdot x$

$84 = 3\cdot x$

Finally, divide both sides to solve for :

$$\frac{84}{3}$ = x$

$x = 28\ ounces$

← Didn't Know|Knew It →

Question

If is inversely related to and and is directly related to , which formula describes the relationship between and ?

Tap to reveal answer

Answer

To say that is inversely related to is to say $x=\frac{1}{y}$$ .

To say that is directly related to is to say .

Thus, to say is inversely related to and and is directly related to is to say

$A=\frac{Z}{BC}$$

← Didn't Know|Knew It →

Question

An electronics store is having a sale and offering off the regular prices of all laptop computers. If the sale price for a certain laptop is $\$450.00$ , what is the regular price of the laptop?

Tap to reveal answer

Answer

Notice that $\$450.00$ is the price after the discount. Therefore, the sale price of $\$450.00$ is of the regular price (or times the regular price). The regular price can be represented as , or times the regular price.

First, set up a proportion describing the problem, using to represent the unknown quantity, the regular price:

$\frac{\$450.00}{0.75} = \frac{x}{1}$

Next, cross multiply:

$\$450.00\cdot 1= 0.75\cdot x$

Finally, divide both sides by to solve for :

$x=\frac{\$450.00}{0.75}$

$x=\$600$

Therefore, the regular price is $\$600.00$ .

← Didn't Know|Knew It →

Question

3 sticks of butter weigh 12 ounces combined. Using this information, determine the weight of 7 sticks of butter.

Tap to reveal answer

Answer

Set up a proportional relationship, using to represent the unknown quantity (the weight of 7 sticks of butter):

$\frac{12\ ounces}{3\ sticks}$ = $\frac{x\ ounces}{7\ sticks}$

Cross multiply:

$12\cdot 7 = 3\cdot x$

$84 = 3\cdot x$

Finally, divide both sides to solve for :

$$\frac{84}{3}$ = x$

$x = 28\ ounces$

← Didn't Know|Knew It →

Question

If is inversely related to and and is directly related to , which formula describes the relationship between and ?

Tap to reveal answer

Answer

To say that is inversely related to is to say $x=\frac{1}{y}$$ .

To say that is directly related to is to say .

Thus, to say is inversely related to and and is directly related to is to say

$A=\frac{Z}{BC}$$

← Didn't Know|Knew It →

Question

An electronics store is having a sale and offering off the regular prices of all laptop computers. If the sale price for a certain laptop is $\$450.00$ , what is the regular price of the laptop?

Tap to reveal answer

Answer

Notice that $\$450.00$ is the price after the discount. Therefore, the sale price of $\$450.00$ is of the regular price (or times the regular price). The regular price can be represented as , or times the regular price.

First, set up a proportion describing the problem, using to represent the unknown quantity, the regular price:

$\frac{\$450.00}{0.75} = \frac{x}{1}$

Next, cross multiply:

$\$450.00\cdot 1= 0.75\cdot x$

Finally, divide both sides by to solve for :

$x=\frac{\$450.00}{0.75}$

$x=\$600$

Therefore, the regular price is $\$600.00$ .

← Didn't Know|Knew It →

Question

3 sticks of butter weigh 12 ounces combined. Using this information, determine the weight of 7 sticks of butter.

Tap to reveal answer

Answer

Set up a proportional relationship, using to represent the unknown quantity (the weight of 7 sticks of butter):

$\frac{12\ ounces}{3\ sticks}$ = $\frac{x\ ounces}{7\ sticks}$

Cross multiply:

$12\cdot 7 = 3\cdot x$

$84 = 3\cdot x$

Finally, divide both sides to solve for :

$$\frac{84}{3}$ = x$

$x = 28\ ounces$

← Didn't Know|Knew It →

Question

If is inversely related to and and is directly related to , which formula describes the relationship between and ?

Tap to reveal answer

Answer

To say that is inversely related to is to say $x=\frac{1}{y}$$ .

To say that is directly related to is to say .

Thus, to say is inversely related to and and is directly related to is to say

$A=\frac{Z}{BC}$$

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