Question

The cost, SC, of transporting goods is directly proportional to the distance covered, d km.
The cost of transporting goods over a distance of 60 km is $100.
(1) Find an equation connecting and d.
(ii) Find the cost of transporting goods over a distance of 45 km.
(iii
) If the cost of transporting goods is $120, calculate the distance covered.
(iv) Draw the graph of C against d.​

Answer 1

Answer:

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Answer 2

$(i) \frac{60}{100} = \frac{distance}{price}$

$(ii) this \: is \: a \: case \: of \: direct \: proportion \:$

$\frac{60}{100} = \frac{45}{x}$

$60x = 4500$

$x = \frac{4500}{60}$

$\: \: \: \: = 75$

$(iii)this \: is \: a \: case \: of \: direct \: proportion$

$\frac{60}{100} = \frac{x}{120}$

$7200 = 100x$

$\frac{7200}{100} = x$

$72 = x$

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