Sravs and her parents are going to an art museum for the day. The Parking garage near the museum charges the rates shown here below:

a) Is the cost to park a function of time ? Explain .
b) If they stay at the museum for 6 hours , Should they expect to pay more than $25.

The correct answer is: $25.

We have given the two data of Time and Cost.
We will convert the given data into points
As (1,5), (2,10) , (3,15) , (4,20) , (5,25)
Domain:-  { 1, 2, 3, 4, 5 }
Co- Domain:- { 5, 10, 15, 20, 25 }
From the given data we can analyse that the every member in the domain set has unique image in the co-domain set .
It is an identity function.
We can represent the given function as

y = 5 x
where x is time and y is cost
a) Yes, because as the time increases the cost increases 5 times the cost.
b) If they stay at museum for 6 hours then x = 6

y = 5 x = 5 (6)

= 30
Which is greater than $25
So they have to pay more than $25.

All functions are relations but all relations are not functions.