Answer to Question #265215 in Algebra for chari

Question

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

Solution

Part one

200 Indian Rupee (INR) = $134$ Philippine Peso (PHP)

$\therefore[$ INR $]=1.49[PHP]$

$y=1.49x$

Part two

$\begin{matrix} x & 0&2&4&6&8&10 \\ y& 0&2.98&5.97&8.95&11.94&14.92 \end{matrix}$

Graph for part 2 and 4

Part 3

$[PHP]=0.67\>[INR]$

$y=0.67x$

Part 4

$\begin{matrix} x|&0&2&4&6&8&10& \\ y|&0&1.34 & 2.68&4.02&5.36&6.70 \end{matrix}$

Part 5

a) Formula (ii) is the inverse of the first one

b) if (a,b) is a point on the first graph, (b,a)is a point on the second graph

The second graph is the reflection of the first graph about line $y=x$

$y=x$ is the line of symmetry