# HiSET: Math : Functional relationship between two quantities

## Example Questions

### Example Question #1 : Functional Relationship Between Two Quantities

A restaurant sets the prices of its dishes using the following function:

Price = (Cost of Ingredients) + (40% of the Cost of Ingredients) + 5

where all quantities are in U.S. Dollars.

If the cost of ingredients for a steak dish is $14, what will the restaurant set the price of the steak dish at? Possible Answers:$13.40

$19$19.60

$24.60$14

$24.60 Explanation: The price of the dish is a function of a single variable, the cost of the ingredients. One way to conceptualize the problem is by thinking of it in function notation. Let be the variable representing the cost of the ingredients. Let be a function of the cost of ingredients giving the price of the dish. Then, we can turn "Price = (Cost of Ingredients) + (40% of the Cost of Ingredients) + 5" into a regular equation with recognizable parts. Replace "Price" with and replace "cost of ingredients" with the variable . Simplify by combining like terms ( and ) to obtain: The cost of ingredients for the steak dish is$14, so substitute 14 for .

All that's left is to compute the answer:

So, the steak dish will have a price of \$24.60.

### Example Question #2 : Functional Relationship Between Two Quantities

The plot shows the graphs of five different equations. Using shape and location, determine which graphed line corresponds to the equation .

Line C

Line D

Line B

Line E

Line A