1. The problem asks us to identify the independent and dependent variables from the graph of the valve on the bike tire and to state the domain and range. 2. The independent variable is the one that we control or that changes freely. Here, time $t$ (in seconds) is on the x-axis, so it is the independent variable. 3. The dependent variable depends on the independent variable. Here, height $H$ (in centimetres) is on the y-axis, so it is the dependent variable. 4. The domain is the set of all possible input values (time values) shown on the graph. From the graph, time $t$ ranges from 1 to 7 seconds, so the domain is: $$\text{Domain} = [1,7]$$ 5. The range is the set of all possible output values (height values) shown on the graph. The height varies approximately from 0 cm (lowest point) to about 40 cm (highest point), so the range is: $$\text{Range} = [0,40]$$ 6. Summary: - Independent variable: time $t$ (seconds) - Dependent variable: height $H$ (centimetres) - Domain: $[1,7]$ - Range: $[0,40]$