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.

sum= when you add is how much the whole amount is

distance= when you use angles and it means how far it goes

step-by-step explanation:

answer:  

step-by-step explanation:

here x represents the height of the pole,

and, the height of the shadow of the pole is 12 feet.

also, the angle of elevation from the top of the pole is 40°,

therefore,

by the low of sine,

which is the required equation for finding the value of x,