smc-4609-45-Rate conversions

Rates, SM-Bank 089 MC

The exchange rate between Australian dollars and Euro dollars (€) is A$1 = €0.5.

Leisa is in Paris and buys a baguette that costs €12.

What change, in Euro dollars (€), will Leisa receive from A$50?

€13
€38
€76
€94

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$A$

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$\text{Convert A}\$50\ \text{to Euro dollars(€):}$

$\text{A}$50$	$=50\times 0.5$
	$=\text{€}25$

$\text{Change}$	$=\text{€}25-\text{€}12$
	$=\text{€}13$

$\Rightarrow A$

Rates, SM-Bank 088 MC

The exchange rate between Australian dollars and Euro dollars (€) isA$1 = €0.5.

Murray is in Europe and takes a taxi that costs €20.

What change, in Euro dollars (€), will Murray receive from A$50?

€5
€10
€60
€80

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$A$

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$\text{Convert A}$50\ \text{to Euro dollars(€):}$

$\text{A}$50$	$=50\times 0.5$
	$=\text{€}25$

$\text{Change}$	$=\text{€}25-\text{€}20$
	$=\text{€}5$

$\Rightarrow A$

Rates, SM-Bank 081

Convert 72 km/h into m/s. (2 marks)

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$18\ \text{km/hour}$

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$72\ \text{km/h}$	$=72\ 000\ \text{m/h}$
	$=\bigg(\dfrac{72\ 000}{60\times 60}\bigg)\ \text{m/s}$
	$=20\ \text{m/s}$

Rates, SM-Bank 080

Convert 5 m/s into km/h. (2 marks)

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$18\ \text{km/hour}$

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$5\ \text{m/s}$	$=(5\times 60\times 60)\ \text{m/h}$
	$=18\ 000\ \text{m/h}$
	$=18\ \text{km/h}$

Rates, SM-Bank 057

The top speed of an ostrich is 72 kilometres per hour.

What is this speed in metres per second? (2 marks)

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$20\ \text{m/s}$

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$72\ \text{km/h}$	$=72\ 000\ \text{m/h}$
	$=\bigg(\dfrac{72\ 000}{60\times 60}\bigg)\ \text{m/s}$
	$=20\ \text{m/s}$

Rates, SM-Bank 054

The top speed of a peregrine falcon is 360 km/hr.

What is this top speed in metres per second? (2 marks)

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$100\ \text{m/sec}$

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$\text{Speed}$	$=360\ \text{km/hour}$
	$=360\ 000\ \text{m/hour}$
	$=\bigg(\dfrac{360\ 000}{60\times 60}\bigg)\ \text{m/sec}$
	$=100\ \text{m/sec}$

Rates, SM-Bank 053

The cruising speed of a kangaroo is 720 metres per minute.

What is this speed in metres per second? (2 marks)

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$12\ \text{m/sec}$

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$\text{Speed}$	$=\bigg(\dfrac{720}{60}\bigg)\ \text{m/sec}$
	$=12\ \text{m/sec}$

Rates, SM-Bank 052

Convert 16 metres per second into kilometres per hour. (2 marks)

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$57.6\ \text{km/hour}$

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$16\ \text{m/second}$	$=(16\times 60\times 60)\ \text{m/hour}$
	$=57\ 600\ \text{m/hour}$
	$=57.6\ \text{km/hour}$

Rates, SM-Bank 056

Convert $648 per hour into cents per second. (2 marks)

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$18\ \text{cents/second}$

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$$648\text{/hour}$	$=\bigg(\dfrac{64\ 800}{60\times 60}\bigg)\ \text{cents/second}$
	$=18\ \text{cents/second}$

Rates, SM-Bank 051

Convert 15 grams per day into kilograms per week. (2 marks)

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$0.105\ \text{kg/}\text{week}$

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$15\ \text{g/day}$	$=15\times 7\ \text{g/week}$
	$=105\ \text{g/}\text{week}$
	$=0.105\ \text{kg/}\text{week}$

Rates, SM-Bank 050

Convert 4 litres per minute into litres per hour. (2 marks)

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$240\ \text{L/}\text{hour}$

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$4\ \text{L/minute}$	$=4\times 60\ \text{L/}60\ \text{minutes}$
	$=240\ \text{L/}\text{hour}$

Rates, SM-Bank 049

Convert $30 per hour into cents per minute. (2 marks)

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$50\ \text{cents/}\text{minute}$

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$$30\text{/hour}$	$=3000\ \text{cents/}60\ \text{minutes}$
	$= \dfrac{3000}{60}\ \text{cents/}\dfrac{60}{60}\ \text{minutes}$
	$=50\ \text{cents/}\text{minute}$

\(72\ \text{km/h}\)	\(=72\ 000\ \text{m/h}\)
	\(=\bigg(\dfrac{72\ 000}{60\times 60}\bigg)\ \text{m/s}\)
	\(=20\ \text{m/s}\)

\(5\ \text{m/s}\)	\(=(5\times 60\times 60)\ \text{m/h}\)
	\(=18\ 000\ \text{m/h}\)
	\(=18\ \text{km/h}\)

\(72\ \text{km/h}\)	\(=72\ 000\ \text{m/h}\)
	\(=\bigg(\dfrac{72\ 000}{60\times 60}\bigg)\ \text{m/s}\)
	\(=20\ \text{m/s}\)

\(\text{Speed}\)	\(=360\ \text{km/hour}\)
	\(=360\ 000\ \text{m/hour}\)
	\(=\bigg(\dfrac{360\ 000}{60\times 60}\bigg)\ \text{m/sec}\)
	\(=100\ \text{m/sec}\)

\(16\ \text{m/second}\)	\(=(16\times 60\times 60)\ \text{m/hour}\)
	\(=57\ 600\ \text{m/hour}\)
	\(=57.6\ \text{km/hour}\)

\(\text{A}$50\)	\(=50\times 0.5\)
	\(=\text{€}25\)

\(\text{Change}\)	\(=\text{€}25-\text{€}12\)
	\(=\text{€}13\)

\(\text{A}$50\)	\(=50\times 0.5\)
	\(=\text{€}25\)

\(\text{Change}\)	\(=\text{€}25-\text{€}20\)
	\(=\text{€}5\)