Mathematics 4024 · O Level · Graphs in practical situations
Graphs in practical situations — practice question
The distance-time graph represents Maya’s trip from the office to the factory. The diagram gives the cyclist’s distance-time graph. The cyclist covers $d$ metres from home to a lake and then heads back home.
(a(i))[2]
Maya spends $1\frac{1}{2}$ hours at the factory. She then travels back to the office at an average speed of $35$ km/h. Finish the distance-time graph to show this situation.
(a(ii))[1]
Use your graph to determine the time Maya gets back to the office.
(b)[3]
At 08 36 the cyclist is $(d - 7200)$ metres from home. The cyclist’s average speed from 08 00 to 08 36 is $\frac{4}{5}$ of the cyclist’s average speed from 09 10 to 09 55. Calculate the value of $d$.
Worked solution & mark scheme
This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: “The straight line on the graph is correct” …