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General

Easy

Question

# 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.

Hint:

### An ordered pair is represented as (INPUT, OUTPUT)

A function from set A to the set B is a relation which associates every element of a set A to unique element of set B.

## 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.

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

Which is greater than $25

So they have to pay more than $25.

All functions are relations but all relations are not functions.

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