(a)

The cost of building a house as a function of its square footage.

The best description is " the more square footage the house has the more expensive ".

So graph III matches for this situation.

(b)

The height of an egg dropped from a 300-foot building as a function of time.

The best description is " the height of the egg in air will decrease as a function of time and eventual the height is 0 when the egg reaches the ground ".

So graph IV matches for this situation.

(c)

 The height of a human as a function of time.

The best description is " the height of a human will increase as a function of time, but the height will stabilize after certain age".

So graph I matches for this situation.

(d)

The demand for Big Macs as a function of price.

The best description is " the demand for Big Macs will decrease if the price increases ".

So graph V matches for this situation.

(e)

The height of a child on a swing as a function of time.

The best description is " as a function of time, the height of a child on a swing depends on the swing which can get higher and lower at times ".

So graph II matches for this situation.

(a) III.

(b) IV.

(c) I.

(d) V.

(e) II.