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 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 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∘C ? Was the temperature increasing or decreasing at this time ?
(iii) For how long was the temperature above 40∘C ?
(iv) By how much did the temperature fall between 4 p.m. and 6 p.m. ?
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