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To describe: a real time example that can be represented using relation. Also, to explain the dependencies and represent the relation in 3 different ways
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Explanation of Solution
Example:
An electrician charges a base fee of $70 plus $50 for each hour of work
Let, x be the hours of work
y be the amount charged by the electrician.
Hence, according to the example the relation is:
Now, y will be dependent on the variable x because the more the number of hours the electrician works, the more he will charge for the work done in that amount of time.
Calculation of Graph:
No. of hours of work ( x ) | Amount charged by electrician ( y ) |
0 | $70 |
1 | $120 |
1.2 | $130 |
2 | $170 |
By taking different values of hours of work, the graph can be plotted.
Graph:
Interpretation:
The above graph represents a linear relation.
Representation of relation:
1sttype: (Co-ordinate system)
Let R be the relation in terms of ordered pairs.
R = {(0, 50),(1, 120),(1.2, 130),(2, 170),……so on}
2ndtype: Mapping
3rdtype: Tabular form
No. of hours of work ( x ) | Amount charged by electrician ( y ) |
0 | $70 |
1 | $120 |
1.2 | $130 |
2 | $170 |
Chapter 1 Solutions
Algebra 1
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