smc-5236-10-Currency conversion

v1 Algebra, STD2 A2 2012 HSC 13 MC

Conversion graphs can be used to convert from one currency to another.

Abbie converted 70 New Zealand dollars into Euros. She then converted all of these Euros into Australian dollars.

How much money, in Australian dollars, should Abbie have?

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$C$

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$\text{Using the graphs:}$

$$70\ \text{New Zealand}$	$=40\ \text{Euro}$
$40\ \text{Euro}$	$=$55\ \text{Australian}$

$\Rightarrow C$

Blythe travels to France via the USA. She uses this graph to calculate her currency conversions.

After leaving the USA she has US$750 to add to the A$2150 that she plans to spend in France.

She converts all of her money to euros. How many euros does she have to spend in France? (3 marks)

--- 6 WORK AREA LINES (style=lined) ---
If the value of the US dollar rises in comparison to the Australian dollar, what will be the effect on the gradient of the line used to convert US dollars to Australian dollars? (1 mark)

--- 2 WORK AREA LINES (style=lined) ---

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i. $\text{From graph:}$

$75\ \text{US}$$	$=100\ \text{A}$$
$\rightarrow\ 750\ \text{US}$$	$=1000\ \text{A}$$

$\therefore\ \text{Blythe has a total of }$1000+$2150=\text{A}$3150 $

$\text{Converting A}$\ \text{to €}:$

ii. $\text{If the value of the US}\ $\ \text{rises against the}$

$\text{Australian }$\ \text{then 1 A}\ $\ \text{will buy less US}\ $$

$\text{than before and the gradient used to convert}$

$\text{the currencies will steepen (increase).}$

Mary-Anne knows that

• one Australian dollar (AUD) is worth 0.64 euros, and
• one Canadian dollar (CAD) is worth 0.97 euros.

Mary-Anne changes 75 AUD to Canadian dollars.

How many Canadian dollars will she get?

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$B$

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$\text{Mary-Anne has 75 AUD.}$

$\text{Converting to Euros}$

$25\ \text{AUD}$	$=75\times 0.64$
	$=48\ \text{Euros}$

$\text{Converting to CAD}$

$\Rightarrow B$

\($70\ \text{New Zealand}\)	\(=40\ \text{Euro}\)
\(40\ \text{Euro}\)	\(=$55\ \text{Australian}\)

\(75\ \text{US}$\)	\(=100\ \text{A}$\)
\(\rightarrow\ 750\ \text{US}$\)	\(=1000\ \text{A}$\)

\(25\ \text{AUD}\)	\(=75\times 0.64\)
	\(=48\ \text{Euros}\)