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Harlamova29_29 [7]
3 years ago
9

Determine whether the relation shown here is a function. Explain your answer. A) function, an input has 1 output B) function, an

input has 2 different outputs C) function, no output has 2 different inputs D) not a function, an input has 2 different outputs

Mathematics
2 answers:
kobusy [5.1K]3 years ago
7 0

Answer:

Option: D is the correct answer.

D) Not a function, an input has 2 different output.

Step-by-step explanation:

<u>Function--</u>

A function is a relation in which each element of first set is uniquely mapped to the element of the second set.

i.e. each element has a single image.

If there exist an element in a first set that is mapped to two different elements of the second set then it violates the definition or property of function.

So, from the given mapping we see that the element '2' in the first set is mapped to two different elements in the second set ( i.e. 2→ -4 and 2→ 5).

Hence, the given relation is not a function.

Hence, option: D is correct.

IgorLugansk [536]3 years ago
6 0

Answer:

answer is D

Step-by-step explanation:


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The system of equations that models the problem is:

\left \{ {{2*H+3*C=4.95} \atop {3*H+2*C=5.45}} \right.

Step-by-step explanation:

A system of equations is a set of two or more equations with several unknowns in which we want to find a common solution. So, a system of linear equations is a set of (linear) equations that have more than one unknown that appear in several of the equations. The equations relate these variables or unknowns to each other.

In this case, the unknown variables are:

  • H: price of a can of corn beef hash
  • C: price of a can of creamed chipped beef

Knowing the unit price of a product, the price of a certain quantity of that product is calculated by multiplying that quantity by the unit price. So the price for 2 cans of ground beef hash can be calculated as 2 * H and the price for 3 cans of ground beef with cream can be calculated as 3 * C. Jan paid $ 4.95 for those amounts from both cans. This means that the sum of the can prices must be $ 4.95. So: <u><em>2*H + 3*C= 4.95 Equation (A)</em></u>

Thinking similarly, if Wayne bought 3 cans of corn beef hash and 2 cans of creamed chipped beef for $5.45, Wayne's buy can be expressed by the equation:

<u><em>3*H + 2*C= 5.45 Equation (B)</em></u>

Finally, <u><em>the system of equations that models the problem is:</em></u>

<u><em></em></u>\left \{ {{2*H+3*C=4.95} \atop {3*H+2*C=5.45}} \right.<u><em></em></u>

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