Exercise 21 B
Question 1
1. Form a table of values showing the coordinates of the points highlighted on each of the graphs given below and hence write the equation showing the relationship between $x$ and $y$.
<fig>
2. Copy and complete the table of values for each equation. Hence draw the respective graphs.
(a) y=x+5
| x | 0 | 4 | 7 |
| y |
(b) y=2x
| x | 1 | 3 | 6 |
| y |
(c) y=2x-3
| x | 0 | 3 | 4 | 5 |
| y |
(d) y=x-5
| x | 5 | 8 | 9 | 11 |
| y |
3.
(a) Draw the graph of the function y=5x.
(b) Read from the graph, the value of y when
(i) x=5
(ii) x=6
4. Draw a graph to convert miles to kilometres, given 1 mile $=1.6 \mathrm{~km}$. Use the graph to find :
(i) How many kilometres are approximately equal to $4.5$ miles ?
(ii) How many miles are approximately equal to $8 \mathrm{~km}$ ?
5. The following diagram shows the temperatures during a day:
<fig>
(i) Plot the points on a graph and then join the points with straight lines.
(ii) Approximately when did the temperature first reach $30^{\circ} \mathrm{C}$ ? Was the temperature increasing or decreasing at this time ?
(iii) For how long was the temperature above $40^{\circ} \mathrm{C}$ ?
(iv) By how much did the temperature fall between 4 p.m. and 6 p.m. ?
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