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.

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### 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

.**Possible Answers:**

Line B

Line A

Line D

Line E

Line C

**Correct answer:**

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

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