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)

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.

2

step-by-2step explanation:

a

step-by-step explanation:

when a number is between two straight lines it means the absolute value.

to find absolute value you need to know how many numbers is that number away from 0.

when finding absolute value the number will always come out positive

so absolute value of -3 is 3

absolute value of 3/2 is 3/2

absolute value of -2 is 2

absolute value of 3.5 is 3.5

absolute value of -1 is 1

now put these numbers in order:

a)   |-1|, |3/2|, |-2|, |-3|, |3.5|