HiSET: Math help » Algebraic ideas » features and function notation » sensible relationship between two quantities

A restaurant sets the prices of its dishes using the complying with function:

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

where all quantities are in U.S. Dollars.

If the expense of ingredients because that a steak dish is \$14, what will the restaurant set the price the the steak dish at?

Explanation:

The price that the food is a function of a solitary variable, the expense of the ingredients. One means to conceptualize the trouble is by reasoning of it in duty notation. Allow

be the change representing the cost of the ingredients. Allow
be a function of the price of ingredients giving the price of the dish. Then, we deserve to turn

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

into a consistent equation through recognizable parts. Replace "Price" v

and change "cost that ingredients" v the variable
.

You are watching: What is a relationship between two quantities

Simplify through combining choose terms (

and
) come obtain:

The expense of ingredients for the steak food is \$14, so instead of 14 because that

.

All that"s left is to compute the answer:

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

Report one Error

### Example inquiry #2 : useful Relationship in between Two amounts

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

.

Line B

Line A

Line D

Line E

Line C

Line B

Explanation:

The power of

and
are both 1, therefore this is a straight equation of order 1. Therefore, the graph need to be a straight line. We can get rid of A and E, since neither are straight lines.

The equation is offered in the slope-intercept form,

, whereby
stands because that the slope of the line and also
stands because that the line"s y-intercept. Because
, the coefficient that x, is positive here, we are searching for a line that goes upwards. We can get rid of D because it walk downwards, and therefore has a an unfavorable slope.

In the provided equation, the constant

, which to represent the y-intercept, is additionally positive. Therefore, the heat we are looking for likewise must intersect the y-axis at a confident value. The graph C appears to crossing the y-axis in ~ a an unfavorable value, conversely, the graph B appears to intersect the y-axis at a hopeful value. Therefore, B is the matching graph.

See more: Kawasaki Mule 610 Fuel Filter Location, Kawasaki Mule 610 4×4 Service Manual

Report an Error

see Tutors
Shelley Certified tutor
Grand Canyon University, Bachelor the Science, Business management and Management.

check out Tutors
Vanshika Certified tutor
University the Georgia, Bachelor that Science, Biology, General.

see Tutors
Ryan Certified guardian
University that Missouri-Columbia, Bachelor of Science, Education. Washington university in St Louis, Juris Doctor, legal Studi...

### All HiSET: Math sources

125 practice Tests concern of the job Flashcards find out by principle
Popular Subjects
reading Tutors in Seattle, GRE Tutors in Boston, Algebra Tutors in Los Angeles, biological Tutors in Philadelphia, action Tutors in Miami, Statistics Tutors in Phoenix, Spanish Tutors in Seattle, Algebra Tutors in mountain Diego, sat Tutors in Atlanta, GRE Tutors in Chicago
Popular courses & Classes
Spanish courses & class in Boston, SAT process & class in Chicago, GRE process & great in Los Angeles, ACT courses & class in Atlanta, GRE courses & class in Atlanta, GRE process & great in Philadelphia, GMAT courses & great in Dallas ft Worth, ISEE process & classes in Seattle, GMAT process & class in Washington DC, ACT process & great in Chicago
Popular check Prep
GMAT test Prep in Dallas ft Worth, ACT test Prep in Atlanta, GMAT check Prep in Phoenix, LSAT test Prep in brand-new York City, ISEE test Prep in Seattle, MCAT check Prep in Boston, SSAT check Prep in Seattle, MCAT test Prep in mountain Francisco-Bay Area, GMAT test Prep in Boston, ACT test Prep in Houston
Report an concern with this inquiry

If you"ve found an problem with this question, you re welcome let united state know. V the aid of the neighborhood we can continue to boost our educational resources.

Do no fill in this field
* her Name:
* issue Description:
DMCA complaint

her Infringement notification may be forwarded to the party the made the content obtainable or to third parties such together ChillingEffects.org.

you re welcome follow these actions to file a notice:

girlfriend must include the following:

Send your complaint to ours designated agent at:

Charles Cohn Varsity Tutors llc 101 S. Hanley Rd, Suite 300 St. Louis, MO 63105