Jackson has a gift card for $120 to use at a department store. He wants to purchase 2 shirts and 3 pairs of pants with his gift card. If x represents the cost of the shirts and y represents the cost of the pants, what are the domain and range of this relationship?


A.

domain: 0 ≤ x ≤ 60

range: 0 ≤ y ≤ 40

B.

domain: 0 ≤ x ≤ 40

range: 0 ≤ y ≤ 60

C.

domain: x ≥ 0

range: y ≥ 0

D.

domain: 0 ≤ x ≤ 120

range: 0 ≤ y ≤ 120

Respuesta :

The answers is A because it shows the domain: 0 is less than or equal to x and less that on equal to 60

The domain is the set of values for which the given function is defined. The correct option is A.

What is the domain and range of a function?

The domain is the set of values for which the given function is defined.

The range is the set of all values which the given function can output.

The inequality function for the number of shirts and pants that can be bought with a $120 gift card can be represented as,

2x+3y≤120

Now, the domain for this function can be,

2x+3y≤120

2x≤120

0≤x≤60

The range for this function can be written as,

2x+3y≤120

3y≤120

0≤y≤40

Hence, the correct option is A.

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