If the relationships below are given in the form (input, output), which pairing always describes a function?

A(number of doors in a car, number of cup holders in the car)
B(height of a building in feet, height of the building in inches)
C(beverage charge on a bill, total meal charge on the bill)
D(distance from home during a trip, time elapsed during the trip)

Question

26-12-2016
Mathematics

Answered

If the relationships below are given in the form (input, output), which pairing always describes a function?

A(number of doors in a car, number of cup holders in the car)
B(height of a building in feet, height of the building in inches)
C(beverage charge on a bill, total meal charge on the bill)
D(distance from home during a trip, time elapsed during the trip)

Verified Answer :

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thepeachgirl thepeachgirl · Answer 1 · 2018-08-28T20:13:23-04:00

thepeachgirl thepeachgirl

28-08-2018

It is B, (height of a building in feet, height of the building in inches) I know because I took the test and got it correct

Answer Link

virtuematane virtuematane · Answer 2 · 2019-04-15T05:30:55-04:00

Answer:

Option: B is the correct answer.

B) (height of a building in feet, height of the building in inches)

Step-by-step explanation:

Function--

A function is a relation in which each element from one set is mapped to some unique element of the other set.

i.e. to corresponding to one element in the first set there exist a single image in the other set.

Hence, the relationship below that describes the pairing is a function is:

B) (height of a building in feet, height of the building in inches)

( Since, the height of a building in feet when converted to inches will give a unique image since the conversion of height from feet to inches gives a unique answer)

Option: A

Two cars with same number of doors may have different cup holders.

Option: C

The beverage charge on a bill may have a different total meal charge depending on the meal.

Similarly in option: D we will not obtain a unique image.