Mathematics 0580 · IGCSE · Graphs in practical situations

Graphs in practical situations — practice question

(a(i)(a))[1]

Write down the fare for a 4 km trip.

(a(i)(b))[1]

Complete this sentence. Saanvi’s Taxis charge $\,$__________ for every kilometre travelled.

(a(i)(c))[1]

Find the equation for the line.

(a(ii)(a))[1]

Show that the fare for a 4 km trip with Krishna’s Taxis is $13.

(a(ii)(b))[2]

Find an equation that gives the cost, $c$, of a journey of $d$ kilometres with Krishna’s Taxis.

(a(ii)(c))[2]

Using the grid, draw a line that represents the cost of travelling with Krishna’s Taxis.

(a(d))[1]

Is Mrs Singh correct? Support your answer with a reason. Use your graph to help you.

(b(i))[1]

Complete the equation $3h + 10p = \,$__________.

(b(ii))[2]

Express this information as an equation.

(b(iii))[4]

Solve the two simultaneous equations to determine $h$ and $p$. All steps must be shown.

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