HiSET: Math : Proportional relationships

Study concepts, example questions & explanations for HiSET: Math

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Example Questions

Example Question #1 : Proportional Relationships

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 , what is the regular price of the laptop?

Possible Answers:

Correct answer:

Explanation:

Notice that  is the price after the  discount. Therefore, the sale price of  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:

Next, cross multiply:

Finally, divide both sides by  to solve for :

Therefore, the regular price is .

Example Question #2 : Proportional Relationships

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

Possible Answers:

Correct answer:

Explanation:

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

 Cross multiply:

Finally, divide both sides to solve for :

Example Question #3 : Proportional Relationships

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

Possible Answers:

Correct answer:

Explanation:

To say that  is inversely related to  is to say .

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

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