Answer to Question #265212 in Algebra for chari

Question

I. Converting Currency Guidelines:

1. Think of any currency and make a formula that will convert philippine peso to this currency.

2. Write the table of values showing the conversion and sketch the graph.

3. Create formula that will convert the currency that you have chosen in Item 1 to peso.

4. Make a table of values using the second formula and sketch the graph in the same cartesian plane you have made in Item 2.

5. Answer the following questions:

a. What relationship exists between the two formulas you have made?

b. What can you say about their graphs?

Answer 1

1. Think of any currency and make a formula that will convert philippine peso to this currency.

Currency INR ( Indian Rupees )

Conversion Rate ; 1 Peso = 1 . 54 INR

So , formula $y$ = 1 . 54 $x$

Here , $x$ represents Peso and $y$ represents INR

2. Write the table of values showing the conversion and sketch the graph.

Graph;

3. Create formula that will convert the currency that you have chosen in Item 1 to peso

Formula;

$y = \frac{1 }{(1 . 54 ) }x$

$y = 0 . 65 x$

4. Make a table of values using the second formula and sketch the graph in the same cartesian plane you have made in Item 2

Graph;

5

a. What relationship exists between the two formulas you have made?

The two formulas are Inverse of each other.

b. What can you say about their graphs?

Both are linear and both are a reflection of each other in $y = x$ .