Question

match the following functions with the graph.
(a) the cost of building a house as a function of its square footage.
(b) the height of an egg dropped from a 310 - foot building as a function of time.
(c) the height of an animal as a function of time.
(d) the demand for hamburger as a function of price.
(e) the height of a pendulum bob as a function of time.
(a)
(b)
(c)
(d)
(e)

Explanation:

Step1: Analyze (a)

The cost of building a house increases linearly with its square - footage. So it matches the straight - line graph I.

Step2: Analyze (b)

The height of an egg dropped from a building is a quadratic function of time (due to gravity), and it starts at a non - zero height and decreases to 0. It matches the graph II.

Step3: Analyze (c)

The height of an animal over time is relatively constant after it reaches its full - grown height. So it matches the horizontal line graph III.

Step4: Analyze (d)

The demand for a hamburger decreases as the price increases. It follows a decreasing curve, so it matches the graph IV.

Step5: Analyze (e)

The height of a pendulum bob as a function of time is a periodic function (a sine or cosine - like wave). It matches the graph V.

Answer:

(a) I
(b) II
(c) III
(d) IV
(e) V