The graph shows the water temperature, W in [math]^o[/math]C, in a kettle, at time [math]t[/math] minutes after heating is started.[br]For example, 3 minutes after the start, ie. when t = 3, the temperature W=50 [math]^o[/math]C[br][br]Use the slider for t to change its values and observe the different corresponding values of W for each t[br]
(a) What is the temperature at t = 1 ?
(b) What is the temperature at the start ?
(c) At what time will the temperature be 74 [math]o[/math]C[br][br]
(d) Calculate the gradient of the line (function) [br][br]
[math]\frac{\left(74-34\right)}{\left(6-1\right)}=8^oC[/math]per minute
(e) Can you explain what the gradient represents in this situation
The gradient represents how fast the temperature changes for every minute of heating.[br]In this situation, temperature increases by [math]8^oC[/math] as time increases every 1 minute (per minute)
(f) Can you write down the function that relates temperature W to time t ?